If lim x→-3 for ax2 + ax + bx2 - 1 = 1, find the values of a and b.

Q: Evaluate using the identity a3 - b3 = (a-b)(a2+ab+b2)

A: It is given that, limx→-2x3+8x2+6x+8 and an identity is also given, which is such as,…

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

A:

Q: If х-+5 lim f(x) = 15, find lim ( 2x – x² /f(x)+ 1 х—5

A:

Q: If lim Vn2 + 3n – n = L, then L = n+ 00 Select one: а. 3

A: Given : limn→∞n² +3n  -n = L  To find : Value of L ?

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

A:

Q: If (x, y)lim(2, 3) f(x, y) = 4, can you conclude anything about f(2, 3)? Explain.

A: Assume the function z = f(x,y).First observe the value of the limit for x followed by y.

Q: Find lim?→∞ for (5x2-100x+sin2x) / x2. Thank you!

A: Please see the below picture for detailed solution.

Q: What is the value of x² – 9x + 20, lim r→4 x² + 2x

A:

Q: find lim (2 x3 - 3 x + 5) X --> -1 O 6 O none of these answers O 4

A:

Q: Find lim x→3- x2 – 9 for o, -inf for -o, and DNE

A:

Q: Find the values of the constants a and b such that

A:

Q: If 3x 2 s f(x) s x² - 3x +7 for x 2 0, find lim f(x). x3

A: Given:  3x-2 ≤ f(x) &lt;= x²-3x + 7 for x ≥ 0

Q: If lim,--2+95; (z + 4z) = x + iy, what is the value of x - y?

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: If q(x) 3x² find lim q(x). 7e ||

A: Given function is

Q: Evaluate in terms of the constant a.

A: The limit of a function is the function value which the function approaches as the domain value…

Q: evaluate   lim       squareroot(2(x+h)2-3(x+h)-4   -  squareroot(2x2-3x-4)…

A: To determine the given limit . Note that it is the derivative of the function (2x^2-3x-4)^0.5. It is…

Q: Ex: Find lim, 3f(x) if f(x)%3D x-1 13x-7 x > 3

A:

Q: If limz - - 19+561 (z² + 38z) = x + iy, what is the value of x - y ?

A:

Q: Evaluate in terms of the constant a.

A:

Q: For * + 3. lim (02)-(0,0) :? O A. -2 В. 2 C. Does not exist. D. 0

A:

Q: if f(5) = 4, f'(5) = 7, then lim of (f(x²+1) -4)/(x²-4) = ?? when x goes to 2

A: Please see the answer below.

Q: B/ Find the value of lim,-.. 1. ²/2 O 1 O 2 7x²+x-100 2x²-5x N NIN

A: To evaluate: limx→∞7x2+x-1002x2-5x

Q: Evaluate lim→0 6-6e 5x+x ,13 6 13 6 13 6 6 -

A: topic - limits

Q: If limx→0(2f(x)−15)=45limx→0(2f(x)−15)=45, then what must limx→0f(x)limx→0f(x) equal?

A: Given limx→02fx-15=45 Find limx→0fx

Q: 10x2 + 11xy + lim --1,10) 10х2 — 39ху -

A:

Q: Given that -3x² + 9x - 5 < f(x) < x² – 3x + 4. Find lim,→-3/2 f (x).

A: Let's find limit of given function.    As per bartleby guidelines only first question was answered.

Q: Evaluate:

A:

Q: Divide numerator and denominator by the highest power of x in the denominator to find the limit. 4x²…

A: The given limit is limx→∞4x25+49x2

Q: Evaluate: lim- A. 1 B. e C. 0 D. DNE E. ∞ →2+ [(x² − 4) (-2)]

A: We know, ln(ab)=b*ln(a)

Q: If lim,→-8+11i (z² + 16z) = x + iy, what is the value of x – Y?

A:

Q: What is the solution of the lim x--4 O 8

A: We have to evaluate the following limit: limx→-4x2-16x+4

Q: 2a? Find lim а->-га* — а — 2 a→-1¯ a

A: We have to find lima→-1-2a2a2-a-2.

Q: x+6x tq 4) lim X→-3 x+3

A: Given, limx→-3x2+6x+9x+3 when x tends to -3 then the given function takes the form 00, which is…

Q: If flx)- x+3% +4, then X-3 lim x->3 flx) = ANSWER PNE If imit is wndefined | does not taist

A: The given function, f(x)=x2+3x+4x-3

Q: Find the value of each limit х2 — 4х — 12 lim x-6 x2 – 13x + 42 |

A:

Q: If 3x - 2 0, find lim f(x) X→3

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

Q: If -a2 + 6x – 7 < f(x) < 2x – 3 for all r, find lim f(x). Cite any relevant theorems used.

A: Given that,  -x2+6x-7≤fx≤2x-3 To determine limx→2fx. By the algebra of limits, If gx≤hx  then…

Q: If 3x − 3 ≤ f(x) ≤ x2 − 3x + 6 for x ≥ 0, find  lim x→3 f(x).

A: Consider the following limit condition: g(x)≤f(x)≤h(x)and iflimg(x)=Lx→alimh(x)=Lx→aThen…

Q: Solve for the lim (x )tan(, ) -

A:

Q: a) lim, 2x-I- 3 222 | -1 312 + 5z + 2 7x +10 b) lim,5 7?-10z + 25

A: We have to find the limit of function.

Q: If 6x ≤ g(x) ≤ 3x4 − 3x2 + 6 for all x, evaluate  lim x→1 g(x).

A:

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

A:

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

A: Part (a) limx→0x2-4x+4x3+5x2-14x=limx→0x2-4x+4xx2+5x-14=limx→0x-22xx-2x+7=limx→0x-2xx+7 Now…

Q: 1 lim x5+(2x-3)³ 3x8

A: Given limit is not on any indeterminate form. So, put x tends to infinity directly.

Q: If f(x) = 5x² , then f' (x) = lim¬0 5(x+h)? –52? h True False

A: Given, If  fx = 5x2  ,  then  f'x = limh→05x+h2 - 5x2h We have to check the truthfullness of the…

Q: If lim x*-a* (108 * T'), find the value of "a". %3D Xa x-a

A: We have to find a

Q: Given f(x)= 5x+1,Find lim (x +h)- f(x) h when x>--? h0

A:

Q: Letfo, x-2x? find lim faz? 3x2

A: First we simplify f(x) then we use limit x→-2 .

Q: f(x)= 4x^2 - 14x -8 / x^2 + 4x, if x /= -4 2x-1, if x= -4 Find lim x -&gt; -4 ^ - and  F(-4)

A: The given piecewise function is,