+6 If q(x) = find lim q(x). Provide your answer below:

Q: If 4x - 9  ≤f(x) ≤ x2 -4x +7 for x ≥ 0  , find lim x->4 f(x) .

A: We apply limit on all the sides of the given inequality.

Q: x² + kx – 10 Find the value of k that would make the lim exist. lim X – 2

A: Explanation of the answer is as follows

Q: If f(x) = (1+%) 3 ) 6x *", find lim f(x).

A: We have to find limx→∞fx when fx=1+3x6x If we put limit value then we get that it is 1∞ form We know…

Q: Find lim 1+ (if it exists) X→ 00

A: Solving the problem by finding the limit.

Q: Find the limit. lim (V-5x + 19 + 7) X-2

A:

Q: Find the limits x2 – 4x + 8 lim I -00 3x

A: Given  We need to find the limit.

Q: IF FLX)= and Lim F(X)6 F(-)=2 b X<l Find a,b when X#0

A:

Q: Q8. Find the indicated limit: 2x +16x – 28 a) Lim = 2x +8 4x +x- 30 b) Lim x--3 x+ 3

A:

Q: Find the limit.

A: Given  The limit is limx→02+x-2x.

Q: Find lim,00(e3 +2x)/* 1/x

A:

Q: If 2x – 1 < (x) <x² for 0 < x < 3, find lim f(x)

A: The solution of above question is written below.

Q: If lim as f(x)-4/x-3=2 as x approaches 5, find lim f(x) as x approaches 5.

A: We have

Q: Evaluate the following limits. If you use l'Hospital's Rule, be sure to indicate when you are using…

A: Evaluate limits:

Q: If 2x - 1 0, find lim f(x). X→2

A:

Q: If V5 – 2x? < f(x) < V5 – x? for -1 <x < 1, find lim,-o f(x).

A: Given  5-2x2 ≤ f(x) ≤ 5-x2 for  -1≤x≤1.

Q: Stlon If f(x) = 6x³ 7x – 3, what is lim f(x)? – -

A:

Q: If 3x – 1 0, find lim f(x). X→3

A: Given query is to find the indicated limit.

Q: Evaluate in terms of the constant a.

A:

Q: Find the Limiti lim (xt +2x") メ→ -○

A: Solution is given below

Q: find the limit or explain why it does not exist.

A: We have to find the limit: limx2+5x+5x3+3x2-11x For the given condition, a. as x→0 b. as x→3.…

Q: Find the limits x* + x lim Xo 12x + 128

A: The limit gives the value towards which an expression converges as its variable approach to certain…

Q: Use the e-d definition to show that lim /a = 2. a-b (Hint: Vā – V6 =

A:

Q: +x² +x - 1 lim x –1 -

A:

Q: Given: f (x) = -3x2 - 1 Find: lim, 1 (f (x))

A:

Q: Evaluate the limit V5 + 7x² lim 5 + 4x I+ 00

A:

Q: Divide numerator and denominator by the highest power of x in the denominator to find the limit at…

A: The limit of a function limx→Xfx=Y means that value of  function fx can be as close to Y by making…

Q: Find the limit. - V1+x? lim 3x2

A: This is a problem related to limit of the function. Based on using L'Hospital rule we will evaluate…

Q: Find the limit of the function lim_4-√x²+7 X - 3

A:

Q: Use the e-8 definition to show that lim VI = 2. Z-14

A:

Q: Find the limit. 8 lim x→7 3x + 4

A:

Q: Next Evaluate the limit: 2x + 12 lim I+ -6 x2 36 -

A:

Q: Evaluate the limit 1 + 9x 3 6x lim エ} C0

A:

Q: Which property of f(x) = x' allows us to conclude that lim x- 8?

A: f(x)=x3 is a continuous function. So, it is continuous at x=2 also.

Q: If 3x - 2 0, find lim f(x) X→3

A: The given inequality is: 3x-2≤f(x)≤x2-3x+7

Q: x2-8x+16 e lim X→4 X-4

A:

Q: Find the following: A)) lim x+1 x-3 lim B)) x4 x+1

A:

Q: Evaluate in terms of the constant a.

A: Given :            limx→ax-ax-a

Q: If /10 - 7x sf(x)s/10 -x for -15xs1, find lim f(x). x-0

A:

Q: If 8x – 19 < f(x) < x² + 4x – 15 determine lim f(x) x→2 What theorem did you use to arrive at your…

A:

Q: If (5 – 2a2) < f(x)< (5 – 2²) for -1 <r< 1, find lim,of(x).

A:

Q: lim X-1 2メー1 4x2

A:

Q: Given: fix) =x- 5 and g(x) = 2x a) lim f(x) = X--3

A: Given; f(x) is a polynomial. So f(x) is continuous at every point. Therefore limit at x = (-3) will…

Q: The cost, in millions of $, to remove x% of garbage from a landfill is given by 210x C(x)= 100-x a)…

A: (a) In the given question, x is the percentage of garbage to be removed from a landfill.  So, We can…

Q: Evaluate the limit. 8x 4 lim x→4 \x² – 16 X -4,

A: To evaluate the limit: limx→48xx2-16-4x-4 Solution: We can find that if we evaluate limit then we…

Q: if Lim EGx) -5 メ→2 X -2 Fina Lim f (x) メ→2

A:

Q: Find lim f(x) X+ 0-

A:

Q: Evaluate the limit: x2−9−/5x+15=   limx→3

A:

Q: If lim x) - 2 x-1 x - 1 DNE lim f(x). = 7, evaluate

A:

Q: If 3x-35f(x) < x²-3X+6 for X z0, find. lim f(x)

A:

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.