x2-9 If f(x) = then f (x) discontinuous at x=3 because... ..... x-3

Q: 1. Let f(x) = 3² – 2x + 1. Compute lim (x)f – (4 + x)f 0+-4

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Q: 21. If f(x) = In x, then lim f (x) – f(3) is x→3 x – 3 1 (A) (B) e (C) In 3 (D) nonexistent

A: topic - limits

Q: Let f(x) be a piecewise function defined by x+1 if x 2 Find lim f(x). X-1+ А) 5 В) 2 C) the limit…

A: Please see the answer below.

Q: 11. If f(x)=Vx f(x)-f(4)| The lim x→4 х-4

A: Given: fx=x To Find:  limx→4fx-f4x-4=?

Q: 21 f(x)= 3x2 +4x +1 and g(x) = x2 -2x-3, then what is lim f(x) *→19(x)?

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Q: _15. What is lim f(x)? X-4 A. 0 В.1 С.2 D. Does Not Exist

A: Given: Following graph is given. To Find: 15. limx→4fx=?

Q: Determine the value for c so that lim f(x) exists. X-4 x2 - 9, for x4 The value of c is

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Q: Let f(x) be given by x²+1 if x 2 Find lim f (x) x-2 (А) 5 B 0 -5 D the limit does not exist

A: As it is the concept of limits. First we will check whether the limit exists or not. We will check…

Q: Evaluate the following limits: x? – 4 - lim x→-2 x2 + 9x + 14 x2 – 4 lim x→-0 x2 + 9x + 14 V3x2 – 72…

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Q: Let f(x) be a piecewise function defined by x+1 if x 2 Find lim f(x). A) 3 (в) 5 c) 2 (D) the limit…

A: Given : Piecewise function fx = x + 1if x<05if 0≤x< 2 x2 - 1if x>2   To find : limx→1+fx

Q: 4х — 1 4x2 + 3x Find lim f(x) if 5. x2

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Q: 39. Find lim f(x) if, for x > 0, 4x? – 5 4x6 + 3 - < f(x) < x6 x2

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Q: Suppose that on the interval (2,5) f(x) less than or equal to g (x) less or equal to h (x) and Lim…

A: We have the following information.

Q: 1 Discuss the existence of the limit lim x 0 x2"

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Q: Find the limits x² - 7x lim X-o X + 1

A: Given: limx→∞x2-7xx+1

Q: (1) Evaluate the limit, if it exists. (a) x² + x - 2 lim t→1 x² - 4.x + 3 (b) x - 81 lim x→81 Vx - 9

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Q: Determine the value for c so that lim f(x) exists. X-3 -7, for x3

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Q: 3. is a type of discontinuity when the lim and lim f(x) = M where L# M and either f(a) does not…

A: Discontinuity 1: When the limx -&gt; a- f(x) = L and limx -&gt; a- f(x) = M, where L ≠ M and either…

Q: _11. If lim (x² +1) = 2, and x = 2.5, then x->-1 lim (x² + 1) is equal to. x-2.5 A. 5.25 C. 6.25 B.…

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Q: (2) Find the limit of the following: (a) lim 47 x2 -4 (c) lim x-1 1-x (b) lim (3x+11) X-4 x2 - 2x-63…

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Q: 37. Find lim f(x) if, for all x, -4x+6 < f(x) < x²-2x+7. x→-1

A: As question number 37 is highlighted solving that only.

Q: Given a function f:R → R with f(x) = x - 1, for x rational and f(x) = 5 - x, for x irrational Prove…

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Q: what is the lim x->0  f(x)-f(0)/x^2 if f(x)=2x^2+1?

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Q: 2+x 4. lim 3x-7

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 1- Evaluate the following limits, if they exist. If they do not exist, state why. a- Lim 4 c- lim…

A: See the details solution in below

Q: A function f(x) is said to have a jump discontinuity at х — аif: 1. lim f(x) exists. x → a 2. lim…

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Q: Calculate the limit algebraically: x³ + 8 lim x→-2 x² + 7x + 10

A: Consider the given expression, If we substitute  in the expression we get  form. so, use L-hospital…

Q: 4х — 1 4x2 +3x Find lim f(x)if < f(x) < x² for all x 5.

A: Squeeze Theorem. Suppose that g(x)≤f(x)≤h(x) if limx→ag(x)=L=limx→ah(x), then limx→a…

Q: i. Calculate the following limit: 2x|x – 1| lim - x-1 x-1 ii. Determine the limit of f(x) when x…

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Q: 5. Show that x³y³ lim (x,y) →(0,0) 2x¹2 + 3y4 does not exist.

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Q: 9. There is an infinite discontinuity at x = 0 and f(0) = -2 10. There is a jump discontinuity at x…

A: Let's find.

Q: 1 Let f(x) =. 1,0sx<2 .Determine lim f(x) -x² + 4x – 3, x 22 X2+

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Q: 4. What is the sign of a if f(x)= ax' +x +1 satisfies lim f(x) = 0? x→-0

A: Given that fx=ax3+x+1 satisfies limx→-∞fx=∞. Note that the given polynomial having odd degree.

Q: Find lim h(x), if it exists. X- 00 f(x) = 3x2 + 2x + 9 f(x) (a) h(x) lim h(x) = X- 00 f(x) h(x) = x2…

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Q: Given f(x) = 2x^2 + x -15 all divided by x+3 find lim x -> -3^f(x) algebraically is f(x) continous…

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Q: 2. Evaluate the limits, if it exists. x²-6x+5 a) lim X-5 X-5

A: Given,  a lim x→5 x2-6x+5x-5  b limt→01+t-1-tt    We have to evaluate the limits

Q: Let f(x) = Vx - 1 if x>4 and f(x) = x² – 4x + 1 if x < 4. Find: %3D lim f(x) x→4

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Q: Determine the value for c so that lim f(x) exists. x-3 f(x) = 5**, *+c, for x 3

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Q: Calculate the limit algebraically. x² – 12x +35 lim x2 - 5x →5 O -0.4 O-2 -2.4 O 10

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Q: A function f(x) is said to have a jump discontinuity at x = a if: 1. lim f(x) exists. 2. lim f(x)…

A: We have to find out

Q: It was determined that the lim f(x) = 0 and f(2) = 0. Can it be concluded, definitively, that f'(2)…

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Q: (2) Suppose that a function f(x) is defined for all real values x except x* x,, then lim f(x) does…

A: For limit to be exist at a point, left hand side and right hand side values of function should be…

Q: Suppose f(x) = x2 if x ̸= 2 and is undefined at x = 2. The domain is (−∞,2)∪(2,∞). Find lim f (x).…

A: The limit exists at x tends to 2 for f(x). First of all, consider the condition for the limit to…

Q: Find lim 4(x) (x) / X-0 x 2. Prove that B(m, n)

A: Limit of the bessel function

Q: if x 2 Find the value of c such that lim f(x) exists. x→2

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Q: Find lim f(x). x2 - 16 if x>0 x+4 Let f(x) = x2 - 16 if x<0 X-4 O A. 4 О В. О Ос. -4 O D. Does not…

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Q: 9. There is an infinite discontinuity at x = 0 and f(0) = -2 10. There is a jump discontinuity at x…

A: 9. There is an infinite discontinuity at x=0 and f(0)=-210. There is a jump discontinuity at x=1 and…

Q: The value of the constant k such that x2-kx+7 lim exits is x-1 x+1 -7 7 -8 8 -6

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Q: 7. There is a removable discontinuity at x = 1 and f(1) = 4 8. There is a jump discontinuity at x =…

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.