(2, 6) (-1, 3) /y= f\x) (a) lim f(x) X2 (b) X-1 lim f(x)

Q: Calculate the limit algebraically. If the limit does not exist, say why. lim(x + 1) O -1 does not…

A: This is not always feasible, but there are some cases that work. If f(x) is a polynomial function,…

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

A:

Q: 2/ Find the value of the limit: lim x/*,

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Q: Evaluate the limit: lim_ (x - ln x)* x→0+

A: Using L Hospitals rule , Value of given limit is evaluated.

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

A: Given: gx=1-x,       x≤1 gx=x+1,          x>1 The limit limx→1+gx is the right hand limit at…

Q: Find the limit of f(x) = , - 11 as x approaches oo and as x approaches - o. lim f(x) =| (Type a…

A: Given the function f(x)

Q: Find the limit L.

A: The limit of a function fx at x=a is given by: limx→a fx=fa

Q: Find the limit (if it exist).

A: Given,

Q: lim x² ln x x-0*

A:

Q: The value of the limit lim x42x-3 メー)1 X-イ

A:

Q: Find the limit. lim etan x x-(1/2)+

A: 0 is answer

Q: Find the limit lim Vx – 4x +x -

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Q: Evaluate the limit: lim (x - ln x)* x→0+

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Q: Find the limit L. Then use the ε-δ definition to prove that the limit is L.

A: Given that limx→2 1-x2. Obtain the limit as follows. limx→2 1-x2=1-22=1-4=-3   Thus, limx→2 1-x2=-3.…

Q: Find the limit, if it exists. lim X → -00 ,2 x - x

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Q: Find the limit. lim 1- x-0

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Q: Find the limit. lim x+v-1 (x, y)- Vx+y-1

A: The given limit is of 0/0 form. In this type of limit problems, we try to remove 0 from the…

Q: Evaluate the limit: -V4+x² lim X→0- x2

A: limx→0--4+x2x2

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

A: Given:  fx=x,x≤11-x,x>1 we have to find limx→1+fx we know that when x>1, fx=1-x

Q: Find the limit if it exists, or show that it does not exist. xy lim (x,y)→(0,0) x² + y8

A:

Q: Find the limit. . lim 2x²-x-3 X-1 x+1 . lim 2+h-vZ x-5 E lim x-5+ x2-25 . lim o. f (x) = fx³ +3 lx -…

A:

Q: lim -1 x→0+

A: Separate the limit.

Q: explain why the limits do not exist.  lim (x approaches 0)  x/|x|

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Q: V2x -1 Using defination of limits, prove that lim Jx- 3 L^ = x4

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Q: Find the limit. lim x2/(1-x) X→1 *

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Q: Find the limit L. Then use the - definition to prove that the limit is L

A: Given that: The limit is  limx→-2 ( 4x + 5 )           .

Q: 2. If it exists, find lim f(x) where X--1 x =-1 f(x) = { *x– 1)³, x+-1 4, If the limit does not…

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Q: What is the limit?

A: Limit x->2 means x is approaching 2.So plug x=2 in the given expression.

Q: find the limit. lim x→∞ e-x (sin x)

A:

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

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

Q: When finding the limit  lim x2 +5x+1/3-2x x-> infinity How do I find the limit?

A: Evaluate

Q: Find the limit. lim x-0

A:

Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→0  x −…

A: We have to estimate the limit numerically if it exists.  a) limx→0(x-3) b) limx→0(x-1)

Q: Find the limit: lim, 0+ x(ln x)²

A: The given expression is: limx→0+x(ln x)2 Which is in 0×∞ form. So, convert it into ∞∞ form.…

Q: 2. Find the limit of the function (if exists). If the limit does not exist, explain why. For…

A: (b).   limx→0 x2+a2-ax2 ;      a>0

Q: OUse the e, & definition of the limit to prove that: lim -4x + 5 = -3 x- 2 der: lim f(x) = L means:…

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Q: -x - 4, x 3

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Q: Find the limit. lim etan x→(3t/2)+ х

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Q: Calculate the limit algebraically. If the limit does not exist, say why. x? – 2x + 1 lim - X -1 O…

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Q: c) lim -4e-x

A: c) limx→∞-4e-xlimx→∞-4ex

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. (x+h)³-x³ C. lim. h-0 h |x+4|…

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Q: Find the specified limit. f(x) - x+2, x > -1 lim f(x) ?

A: The given function is            f(x) = x2,  x<-1x+2, x>-1 We have to find the following…

Q: Find the limit, if it exists.

A: Find the limit, if it exists.

Q: х, x 1

A:

Q: Find the limit, if it exists. Vx6 - 1 lim x5 - 1 X--0

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Q: Determine whether the limit exists. If so, find its value. If the limit does not exist, indicate…

A: To evaluate the given limit: lim(x,y)→(0,3)x4-y4x2+y2 Here, note that…

Q: Find the limit x lim- +x+2 X + x +1

A: