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)]

A: Given:  limx→2  fx=1,  limx→2  gx=-2,  limx→2  hx=0 To Find:  limx→2  fx+3gx=?

Q: 2J(x) g(@) lim (h(x))² - f(x)g(æ) +1

A:

Q: х-2 (d) lim x→3 x+3

A: Given: L=limx→3x-2x+3 For evaluating given limit, we put x=3 in given expression

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

A:

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: lim f(x) vs f(-3) а. x--3 b. lim f(x) vs f(-1) x--1 c. lim f(x) vs f(1) X-1 d. lim f(x) vs f(3) X-3…

A:

Q: A B C D lim /(x) = 0 x+2+ lim f(x) = 2 x →-2+ lim /(x) = 0 x+2- lim f(x) = -3 x--2 -5-4-3-2-1 Y -3-…

A: Find limit of function

Q: -2x² + x 41. g(x) y 3 - 1 -2 - 1 (a) lim g(x) (b) lim g(x) *→-' 1.

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

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: Find lim (x,y)-(0,0) y7x⁹8x97y8 + x105 xy7 +x8

A:

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: 2х e -1 (2) Lim (H.W)

A: To evaluate the given limit

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

A:

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: B: Find y + 4 lim (x1)-(24) x²y-xy + 4x² - 4x

A:

Q: If lim f(x) = 17 and lim g(a) エー→6 = 29 then lim [3f (x)g(x) – 8] = %3D %3D エ→6 エ→6 O 34 283 1487 O…

A:

Q: (a) lim5x= x2 (b) lim5x(2x+3)= x→2 (c) lim(x* - 4x+1)=

A: As there are multiple sub parts, (a),(b) and (c) are solved here.

Q: (d) lim 1-x-x² x-∞ 2x³ - 3x + 1

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

Q: The graph of f is given. Use the graph to compute the quantities asked for. (If an answer does not…

A:

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: • fax² =lnx-1-1, x² (0, +00) Tim +^ ^²(x) = +001 *7+00 Find Tim X-400 F(x) e+

A: As per the question we are given the following function : f(x) = ln(x) - (1/x) - 1 And f-1(x) is the…

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…