Find the number a such that the limit exists. lim3x ax a 9 x 2 x2x 2 X a = Find the value of the limit. X

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim 5+ h)3 - 125 h h-0

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim x→0    3x2 − 2x x

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Q: Find the limit, if it exists.

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim x→−5    25 − x2 5x2 + x3

A: We need to find the value of given limit.     limx→-525-x25x2+x3

Q: Find the limit. (If the limit is infinite, enter 'o' or '-o', as appropriate. If the limit does not…

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Q: Find the limit. (If an answer does not exist, enter DNE.) lim Δx→0  (x + Δx)2 − 9(x + Δx) + 7 − (x2…

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Q: Find the indicated limit, if it exists. (If an answer does not exist, enter DNE.) x? + 8 lim x→0…

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim t→5  t2 − 3t −…

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) х - 8 lim X- -00 x2 + 9

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Q: Find the limit. (If an answer does not exist, enter DNE.) lim Δx→0  (x + Δx)2 − 9(x + Δx) + 7 − (x2…

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Q: stimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→+∞  4x8…

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Q: Find the limit if it exists. (If an answer does not exist, enter DNE.) x2 lim (x, y) - (0, 0) (x2 +…

A: From the given problem: limx,y→0,0x2x2+3y2+3

Q: Find the limit or enter DNE if the limit does not exist. 72 _25 lim T5 2-12x+35

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Q: Find the limit , if it exist x-13 lim |x-13| a=13. X-a O a. D.N.E O b. 1 Oc. -1 O d. 0

A: Solve limit

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 25 - t lim t- 25 5 - VE

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Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) x³ – 64 lim…

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Q: Decide whether the limits exist. If a limit exists, find its value.

A: To find: limx→∞x2+6x+8x3+2x+1

Q: Evaluate the limit x2 – 2x – 15 lim I - 5 Enter I for oo, -I for-oo, and DNE if the limit does not…

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Q: Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) 9. lim x2 + X→-7-…

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Q: Find the limit, if it exists. 1 lim x-1 x-1 Select one: A. 4 B. Does not exist C.2 D.0

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Q: Find the limit. (If the limit is infinite, enter '∞' or '-o', as appropriate. If the limit does not…

A: The limit is solved below.

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim x→3 f(x), where f(x) =…

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Q: Find the limit analytically. +r-6 1. ) =-6x +8 Find a lim (x) b. lim Jim fx) d C. lim, f(x)

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Q: lim V x + 2 – 4 x→14 X – 14

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Q: Find the limit, if it exists. If it does not, enter "DNE" (2a + 2)(x - 5) lim 22 +2

A: Given limit is in the indeterminate form, just use the L'Hospital's rule and easily find the…

Q: Find the limit. (If an answer does not exist, enter DNE.) lim Δx→0  (x + Δx)2 − 7(x + Δx) + 4 − (x2…

A: A limit tells us the value that a function approaches as that function input get closer and closer…

Q: Calculate the limit algebraically. (If you need to use  or –, enter INFINITY or –INFINITY,…

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim h → 0  ((−5 + h)2 −…

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 49 - x lim x-49 7 - Vx

A: We will find the value of the limit as following.

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim…

A: Given limit , limh→0 x+h3-x3hWe have to evaluate the limit , if it exists .

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim x→10+ 10 − x x2 − 100

A: To Find: limx→10+10-xx2-100 Concept: i. limx→a+fx=limh→0fa+hii. x2-a2=x-ax+a

Q: Q2: Find the limit r + 3 lim x-3 x + 4x + 3

A: We have to find limit

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) X - 8 lim x - -00 + 6 Find…

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Q: b) Find the limit, if it exists, or show that the limit does not exist. 3x4 - 3y4 lim (x,y) (0,0)…

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Q: Calculate the limit algebraically. (If an answer does not exist, enter DNE.) lim x→−3  3x2 + 3/X

A: Given, limx→-33x2+3x Use L'hospital rule to find the existence of limit

Q: Find k so that the limit exists x² + (3 – k)x – 3. lim - X-2 x- 2 (a)5 (b) 4 (c) 3 (d) 2

A: We will solve the following

Q: x² +7x+12 b) lim x-4" x? -16

A: We have to find limit of given rational function.

Q: Find the limit. (If the limit is infinite, enter '∞' or '-∞', as appropriate. If the limit does not…

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) x2 - 4x + 18, l-x2 + 4x -…

A: Detailed explanation mentioned below

Q: Find the limit. (If the limit is infinite, enter 'o' or '-o', as appropriate. If the limit does not…

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Q: Find the limit. (If an answer does not exist, enter DNE.) lim Δx→0  (x + Δx)2 − 2(x + Δx) + 4 − (x2…

A: Find the solution below

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim h → 0  (h − 4)2 − 16…

A: Expand (h-4)2

Q: Find the limit lim x3 e-x2 X→00

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.)  lim              1  +…

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim x → 2  (x2 − 3x +…

A: Here we evaluate the limit     limx→2x3-3x+2x-2 if it exist

Q: Find the limit. 421 (a) lim 7+ 17 (b) lim x-0 X 3

A: Topic = Limits

Q: Find the limit or enter DNE if the limit does not exist. -7 lim T 8 T-49

A: From the given problem: limx→ 8x-7x-49

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) X - 3 lim X3 x2 - 6x +9

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

A: find the limit or explain why it does not exist.      limx→ax2-a2x4-a4

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (x, y)→(0, 0) xy/square…

A: The given limit is lim(x,y)→(0,0)xyx2+y2. Substitute x=rcosθ,y=rsinθ in the above equation.…