For with -2 < r < 2, define 16) - » (1 -). f (x) E In %3D n2 n=2 9 (x) Σ k+ x In k - x lim k=2 k=2 (la) Agree that f (x) can be written as ((1+ 글) (1-즐) (1+금) (1-즐), )(! lim n 00 In 2 1 + 3 1 - 3 1 - 2 1 + n n Agreed. (1b) Agree that g (x) can be written as (1+ 즐) (1+ 품). (1+ 1 ..... lim x + In k k=2 (1-즐) (1-3)(1-) 2 .... . Agreed.

Q: ( 2x + 6 x -2 Enter DNE if the limit does not exist. a) lim g(x) = X--2 b) lim g(x) = X--2* c) lim…

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Q: 1) Given f(x)=2x + 1 and g (x)= x^2 +2x-1 , find (f- g)(x), then evaluate the sum when x=3 2)Given…

A: Given:1. fx=2x+1, gx=x2+2x-1f-gx when x=32.fx=x2, gx=1-xf-gx when x=23.fx=x+2, gx=x-1f-gx when…

Q: can this be evalnated by using L'HOSpital's Ruie? lim Trxln(x) Itxen(x) (メ-)nx

A: The given limit can we evaluated by using algebra of limits.

Q: Compute Lim メーフ4 7x+5 -3 Sin ? X 2)x-70 3X イメ2+2 3) -00 X-7-00 2x-1

A: (1)Consider the given function with limit:

Q: Find the limit as x approaches infinity of (2x-1)(3-x)/(x-1)(x+3)

A: Given query is to find indicated limit.

Q: 23) lim (5x- 1) = 19 X4

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Q: Suppose that f(x)=A/x,     g(x)=Bx^3, and    h(x)=ax^2+bx+c   Assume A≠0. Compute the composition…

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Q: Is there a value of a for which limx1 3x^2+ax+a+3/x^2+x-2 exists? Enter the value of a if such a…

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Q: Limit as x approaches 2 of (x3-8)/(x-2)

A: Obtain the value of the limit as follows.

Q: e graph of y = f(x) is shown. Assume f'(x) is continuous. 8 7 6 5- 4 3 2 -7 -6 -5 -3 -2 -1 nd xf(x)…

A: Given query is to find indicated limit.

Q: 23) If f: IR→IR and g: IR^ IR are continous, show that the functions f²g: IR^ → IR₁ × → [fos]ªg(x)…

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Q: x*+1 c. lim X+00 Vx+x-1 Vi+3x4 d). lim 2x+7 Vi+3x e). lim X-o 2x+7 f). lim (v4x² + 3x – 2x)

A: *As per bartleby guidelines we are allowed to answer only 3 sub-parts at a time. Kindly please…