For the function f whose graph is shown, state the following. (If the limit is infinite, enter 'o' or '-co', as appropriate. If the limit does not otherwise exist, enter DNE.) Figure Description -6/-4 6 (a) lim f(x) -00 (b) lim f(x) (c) lim f(x) (d) lim f(x) x- 6 -00 (e) lim f(x) x+ 6* (f) the equations of the vertical asymptotes (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) -7, x = -3 X3D

Q: Find limit of lim x-->0 of f(x)= (e3x-3x-1)/(4x^2

A: Given limx→0e3x-3x-14x2

Q: Determine the limit by sketching an appropriate graph. V16-x2 Osx< 4 lim f(x), where f(x) = 4 4sx<8…

A: GRAPH

Q: Determine the infinite limit. x + 2 lim x--3+ x + 3

A: We have to determine infinite limit: limx→-3+x+2x+3 We know that finiteinfinite=0finite0=infinite

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A:

Q: Evaluate the limit. limx→ 0+ tan-1(1/x)

A:

Q: limit

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Q: limに 1 x2-3x+2 X-1 x-1

A: We have to find

Q: Find the limit. Use l’Hospital’s Rule where appropriate.If there is a more elementary method,…

A:

Q: 2. Evaluate the limit: TC 1000 lim x-7- (x-7)2 lim x→8+ (8 - x)3

A: the given limit is: limx→7-πx-72-limx→8+10008-x3 we have to evaluate the given limit.

Q: Find the limit (if it exists). If it does not exist, explain why.

A:

Q: Find the one-sided limit (if it exists).

A: Given: Find the one-sided limit (if it exists).

Q: 4. Find the limit if it exists. Use L’Hospital Rule where appropriate, give a reason. ae* – ae-* -…

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Q: 5. Find the limit or show that it does not exist. sin(x – 1) lim 2 x→1 x´ + x -2

A:

Q: Find the indicated one-sided limits, if they exist. -x + 6 15x + 5 if x s 0 if x > 0 f(x) = lim f(x)…

A:

Q: Estimate the limit numerically to two decimal places or state that the limit does not exist.

A:

Q: given that  lim f(x)=9           lim g(x)=-2             lim f(x)=0 x---&gt;1.…

A: Note: We shall only answer up to first three sub-parts as the exact one is not specified. Please…

Q: Find the limits analytically. Show all work and use proper limit notation. √x² +8-3 1. lim X-1 x+1

A:

Q: The value of the limit x42x-3 lim メー)イ X-イ

A: Given : limx→1x2+2x-3x-1

Q: Find the limit, if it exists. If the limit does not exist,explain why.

A: x→-2lim2-|x|2+x=x→-2lim2+x2+x=x→-2lim1=1

Q: Find the limit. (x²-7) (6- cos x) lim

A: Given,           limx→0x2-76-cosx

Q: 2. Find the limit or show that it does not exist: lim (2,y)→(0,0) 2x6 + y?

A: We have to find limit

Q: lim f(x) x--&gt; 3, where f(x) = {2(x+1), if x &lt; 3 or 4, if x = 3, or x^2 - 1, if x &gt; 3}…

A: First we find the limit of f(x) from left side and right side .

Q: Estimate the limit numerically or state that the limit does not exist. If infinite, state whether…

A: The limit of the given function

Q: Determine the infinite limit. X 1 lim x4+ X - 4 -CO

A: We will plug x=4^+ in the expression first. We got 0 in denominator. So lets check by plugging…

Q: Find the limit using table: 1-cosx lim- X-0 x -0.1 -0.01 -0.001 0.001 0.01 0.1

A:

Q: Find lim f(x) and determine if continuous at x =2 エ→2

A: We have to check

Q: 2. Assume that lim f(x) = 4, lim g(x) = 8, lim h(x) = 5. Use the limit laws to evaluate the limit…

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Q: Find the one-sided limit (if it exists).

A: Given: limx→0+x-1x+3 for evaluating given limit, we put x=0+ in given limit

Q: Evaluate the limit |x lim x+6 x - 6 - 6| If the limit does not exist enter DNE. Limit =

A: Evaluate the limit

Q: How do you solve question 11 and 12?

A: (11)Given:

Q: Find the one-sided limit (if it exists). (If an answer does not exist, enter DI lim -0.2x sin x X--0

A:

Q: 7. Find the limit, if it exists. If the limit does not exist, explain why. (a) lim sin (2x6) sin(4x…

A: Explanation of the answer is as follows

Q: 4) Determine the limit. lim 1 f(x), where f(x): X + 10 X-- 10-

A: Given, f(x)= 1/(x+10)

Q: Find the one-sided limit (if it exists).

A: Given :                       f(x) = limx→2- 1x2-43

Q: Calculate the limit for the function f(x) = 33 – 11x and interval [2, 6]. Verify your answer by…

A: Given that: f(x)=33-11x in [2, 6]

Q: Find the limit. (If you need to use -0 or ∞, enter -INFINITY or INFINITY.) lim (e-5z cos

A:

Q: sin² x lim 0-x X

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Find the limit or determine that the limit does not exist limx→0 (1/(x 3 √1+x)-(1/x)) 1 + x is all…

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Q: 3. Evaluate the limit if it exists: а. lim 8-0 sin-B b. lim(1+x*)*

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Q: Numerically determine the limit 8+x3 limx--2 2+x

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Q: estimate the limit numerically to two decimal places or state that the limit does not exist

A: The value of the limit is 2. Take the first term as common term and simplify.

Q: Calculate the limit.

A: limx→∞tan-11+x1-x

Q: Find the limit or show that it doesn't exist. 1-х-х2 a) limx→-o 2х2-7 V1+4x6 b) limx 2-х3

A:

Q: . Suppose f(т/3) — 5, f (т/3) — —3,а sin(3та) 2->0 sin(5Tx) . Find the limit: lim

A:

Q: Find the limit (if it exists). If it does not exist, explain why.

A: Left hand limit: Right hand limit:

Q: 5) Find the indicated limit if it exist. 3- Vx + 7 а) lim x→2 2 - x x' +1 b) lim х>-1 х+1

A: (a).    We have to find the limit: limx→2 3-x+72-x

Q: Find the limit. Enter the exact answer. If the limit does not exist, indicate that using the check…

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Q: Find the limit if it exists. If the limit does not exist, explain why. (x+h)³-x³ C. lim. h-0 h |x+4|…

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Q: V-1-x +5, if x -2 Calculate the following limits. Enter "n" for a limit which does not exist. lim…

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Q: Find the limit, if it exists. 7x + 70 lim x-10 |x + 10|| Step 1 Recall that x+ 10 x2 -10 x < -10. |x…

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