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: Let f(x) = x+1/x+2 and g(x)= 2x+3/x-1 compute: lim f(g(x))                  x>

A: fx=x+1x+2    gx=2x+3x-1   fgx=f2x+3x-1             =2x+3x-12x+3x-1 +2    +1…

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: 2x+12 |x+6| If f(x)=- , determine whether lim f(x) exists. 44-6

A:

Q: g(x)= 7 lim x→7 √g(x)

A:

Q: Let f(x) = x3+x. Evaluate lim s→0 (f(x + s) − f(x))/s .

A:

Q: Let f(x) = x³ + x² – 6x – and lim (g of)(x). 1 and g(x) = 3. Find lim(f° g)(x) x→4

A: Explanation: Given that,  f(x)=x3+x2-6x-1g(x)=3       Concept Used: Composition of function:…

Q: If V5 – 2x? < f(x) < V5 – x? for -1 <x < 1, find lim,-o f(x).

A: Given  5-2x2 ≤ f(x) ≤ 5-x2 for  -1≤x≤1.

Q: Stlon If f(x) = 6x³ 7x – 3, what is lim f(x)? – -

A:

Q: V6 - 5x , x > -1 Determine lim x-2 wheref ( x %3D 2x2 - 5x , x < -1

A:

Q: If limx→.3[x³ + f(x)] = -29, use the Rules of Limits to evaluate limx→.3[36x^² + f(x)- 3x]. O a. 11…

A: limx→-3x3+fx=-29

Q: 3. (a) Differentiate the function f(x) = x2 from first principles.

A:

Q: If f(x)=x2−9x−3 , what is limx→3+x2−9x−3 , limx→3−x2−9x−3, and f(3) ?   Is f(x) continuous at 3?

A: Given,              f(x) = x2 − 9x − 3

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

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: 1. Describe how to find the limit of a polynomial function p(x) as x approaches c.

A:

Q: Find lim h→0 lim h0 f(3+h)-f(3) h f(3+h)-f(3) h - if f(x)=x² +8. (Simplify your answer.)

A: To find the limit limh→0f(3+h)−f(3)h for the given function f(x)=x2+8, let's substitute the function…