Find the limit, if it exists: (Do not use L'Hospital's rule) (V42 lim 4x2 4а* + 16х V + 20 Note: Give the exact answer but not the decimal approximation (for example, write 4/5 and not 0.8). (V 422 lim 4x + 16x – V 4x2 + 20

Q: First rationalize the numerator, then find the limit. Enter the exact answer. If the limit does not…

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Q: Find the limit if it exists. lim V3- Vx+3 111

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

A: first we factor the denominator

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A: Consider the limit limx→10+ x-10x-10   observe that the numerator is an absolute value function with…

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A: We need to find the limit if it exists.

Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) 3x2 + 10x - 6…

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Q: Find the one-sided limit

A: To find:limx→-4- x2+2x+4

Q: find the limit or explain why it does not exist. 1 - Vx lim 1- x

A: we have to find the limit . limx→11-x1-x

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Q: Find the limit, if it exists. If the limit does not exist, explain why. lim 4+12 |x+3|| --3

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

A: Here given as

Q: Find the limit if it exists. Lim -2 (3x° + 2xª – x² + 7x – - 3)

A: For the following limit,

Q: Q4: Find the following limits if exist:-- x-1 x2-x 1) limx-1²+2x-3 2) limx-1 x²+3-2

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Q: Identify the indeterminate form for 4x 2 lim (1+ and evaluate the limit, if 3x possible.

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Q: Use L'Hospital rule to find the limit. lim (Vx2 – 6x – x) -

A: If f(x)g(x)is of the form 00 or ∞∞, then limx→cf(x)g(x)=limx→cf'(x)g'(x)

Q: .) Find the limit or show that it does not exist. lim √25t²+2-5t 1-x

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Q: Find the limit is it exisit.

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

A: limx→4-x-2x-4

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

A: Given: limx→2+2x-x we know that 2+=2

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

A: Given:             limx→4ex−e4x−4

Q: what is lim of x approaches -8 from the left of 7x+56/abolute value of x+8

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

A: L' Hopital's Rule is used in the following cases,

Q: Find the limit as x -> (+) or (-) oo (Infinity) using L'Hoptials Rule for: Lim as x->oo of (9x +4)…

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Q: lim (4x – V16x² + 3x – 5 (4* Зх — 5 00-x

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Q: Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) 6x²+x-1 Ilm…

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

A: Given:limx→2-x2x2+4=limx→2- x2limx→2- x2+4=2222+4=48=12

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

A:

Q: Find the limit, if it exists. If the limit does not exist, explain why. 5x – 10 lim |x – 2| x-2-

A: We have to find value of given Limit.

Q: use l’Hôpital’s Rule to evaluate the limit

A: we have to evaluate the given limit by using the L.hospital's rule: limx→∞5x2-3x7x2+1

Q: 1 + 4x6 lim 2 - x3

A: Given: limx→∞1+4x62-x3

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

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

Q: find the limit. use l'hospital's rule where appropriate.

A: The given limit value to be identified is,

Q: find the limit or explain why it does not exist. lim 12 In (2 – Vi) -

A: We have to evaluate the following limit: limt→1t2ln2-t

Q: Find the limit by using l'Hôpital's Rule. ( limx-14³-x-3

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Q: Find the limit L. 2x2 + 8x + 6 lim X--3 x + 3 L =

A: Factorise 2x2+8x+6 2x2+8x+6=2x2+6x+2x+6                     =2x(x+3)+2(x+3)…

Q: Find the limit, if it exists. If the limit does not exist, explain why. lim,2 1-2?

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Q: x3* lim x-03-1

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

A: limx→∞sin-14x6-8x=sin-1limx→∞4x6-8x=sin-1limx→∞4xx6-8xx , [divide both numerator and denominator by…

Q: lim 4x3 5x3– - ×ーフ。 2x² -1

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

A: limx→4-x-2x-4

Q: х — 5 7. lim x→5+ x?

A: Use simple limit method

Q: Find the limit if it exists. 1. lim, 4 (3x2 – 2x + 6)

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Q: Find the limit or show that it does not exist. Vī lim 1+4x6 2- x'

A: To find the limit: limx→ -∞ 1+4x62-x3

Q: lim (4x - V16х? + 3х — 5 -Зх — 5 x00

A: Given :

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A: Given, to find the limit of the function f(x)=2x+3  as the value x approaches +3. This value is…

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Q: a2 +bt -a lim² , a >0 t-0 t

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Q: 2x +1 メ-4 lim 2. X-0

A: L'Hospital rule is applicable only when f(x)g(x) become of the form 00or ∞∞ For applying…

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

A: Given: lim△x→0+x+△x2+x+△x-x2+x△x