y f(x) y = g(x) (a) lim [f(x) + g(x)] x2 (b) lim [f(x) – g(x)] (c) lim [f(x)g(x)] x→-1 (d) lim fx) x-3 g(x) (e) lim [x?f(x)] (f) f(-1) + 1lim g(x) X--1

Q: (b) Assume that lim,6 f(r) = 9 and that lim,6 g(r) = 3. Compute lim f(r)g(r) - f (x)f(x) + g(x)g(x)

A: To Determine: The given expression:

Q: f(x)=x-5 X 1. f(5)= :: f(x) 2. lim (x-5) as x->5 =

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (a) lim [f(x) + 3g(x)]

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A:

Q: Consider a function F (x) given by the following equation: F(x) = f(x)/g(x) where f(x) and g(x) are…

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Q: - Use the graph of f to determine the value of limx→4 f(x). lim f(x) = x→4 y = f(x) -4 T -3 -2 -1 8-…

A: given graph of function to find the limit.

Q: find f(x) and a lim [3(2+h) ³+27-14 h=0 h

A: find f(x) and a :use the formula , limit definition of derivative :

Q: lim h→0 f(1+h)-f(1) B)-f(1) h 5/14 Correct where f(x) = 9x² + x - 4

A:

Q: If  lim x→1  (f(x) − 8)/(x-1)=2     , evaluate  lim x→1 f(x).

A: Given: limx→1f(x)-8x-1=2

Q: If lim f(x) = 16 and lim g(x) = 24 then x8 lim[3f(x)g(x) – 7] = O 1159 O 1152 O 1145 O 216 O 32

A:

Q: f²(x) x-2x³-f(x)* 2. Suppose that limf(x) = 5. Compute lim x-2

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Q: If limx→0(2f(x)−15)=45limx→0(2f(x)−15)=45, then what must limx→0f(x)limx→0f(x) equal?

A: Given limx→02fx-15=45 Find limx→0fx

Q: (d) lim 1-x-x² x-∞ 2x³ - 3x + 1

A: In this question, we want to evaluate the limit of the given expression.

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Q: (A) (B) ƒ(5) - ƒ(3) 5-3 f(3 +h)-f(3) h (C) lim h→0 || f(3+h)-f(3) h

A:

Q: 2f(x) ) lim x→2 g(x)

A: Given: Limit equations is given.

Q: Given that lim f(x) = 1 x-2 lim g(x) X-2 lim h(x) = 0, -2 %3D %3D

A:

Q: a) Sketch the graph of the function f (x) = {2x – 3 if æ 2 then evaluate lim f(x), lim f(x) at a =…

A: Consider the given: Hello. Since your question has multiple sub-parts, we will solve first three…