f(r) where f(r) and g(r) are polynomials. g(r)' 2. Describe a strategy for solving limits of the form lim

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: If lim f(x) = 2 and lim g(x) = 10, then lim[3f(x) – 4g(x)] = −34. x→b x-b x-b True O False

A:

Q: If V 16x <f(x)sx+4 for all positive x-values, then what is lim f(x)?

A:

Q: Given f(x) = 1|. x + 1 x + 1 Find: lim x→4¯ f(x)

A:

Q: 7. Use the definition of the limit of a function to show that if lim f(x) = a and lim g(x) = b, x→x0…

A:

Q: g(x)= 7 lim x→7 √g(x)

A:

Q: 9. Evaluate (a) limx→1 2023_ (b) limx→0 x-1 x-sin x ¹x0 4x5-2x³ (c) lim₂-0 3-1-1-2 2x4-3x³

A:

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: In (2-x) 1-x²-y2¹ (a). Find and sketch the domain of f. 1. Given function f(x, y) = ,do the…

A:

Q: If 3x − 1 ≤ f(x) ≤ x2 − 3x + 8 for x ≥ 0, find lim x→3 f(x).

A: Here we use sandwich theorem Also known as squeeze theoremThis theorem states that , if gx≤fx≤hx in…

Q: 03 1 -5 -4 -3 -2 -1 2 3 4 5

A:

Q: 2f(x) ) lim x→2 g(x)

A: Given: Limit equations is given.

Q: If lim as t approaches 4 of the function ((g(x)-6)/(t-1))=1. Find lim t approaches 4 of g(t).

A: The given function is ((g(x) - 6) / (t - 1))  As limit t approaches to 4 the value of the function…