The function f is defined by f (x) = x² sin. The application of the squeeze theorem guarantees that limf (x) = I 2-0 ○ A. -1 ☐ B. 0 C. 1 D. The limit does not exist

Q: f(x) : II. Determine the limit of the function, g(x) = x² + 2, given its table of values. -3 11 -2…

A: Given :                              g(x) = x2 + 2         (1).…

Q: Suppose f: (0, ∞o) → (0, ∞o) is a continuous function. True or false: lim √f(x) = = /lim f(x). 2-5…

A: We have to find whether given statement is true or not?

Q: 3. Describe the interval(s) on which the function is continuous. c) S(x)= x-1 2, x= 1

A:

Q: Let f be a function sati sfying f(x+y)= f(x)f(y)-/4-f(y) for all x, y e R. and lim f(x)= 4. discuss…

A:

Q: What is the limit of f (x) = 1 as x → π?

A: The value of this function is equal to 1 regardless of value of x as we can see below in graph.  So…

Q: Let f(x) = 1 + x² and g(x)=√x + 2. Find the following limit: lim(1(z)) g A) 4 B) √7. C) 2 O D) 5 O…

A: Given problem:-

Q: Let f(x)=1/(x-2) Find the limit of f(x) as x approaches 2. If it exists, find its value. And if it…

A: See this solution in below.

Q: 0- V5 – x – V5+: -

A:

Q: Explain why you cannot use the substitution to determinate the limit lim(x->inf)(|x|/x)  Does the…

A: Substitution means we directly substitute the value of x in the function.

Q: Use two different paths to demonstrate that the limit: lim(7,9)→(0,0) x*y?+(x=y)?

A:

Q: Prove that a function f is continuous at a limit point p iff the limit as x goes to p is f(p).

A:

Q: calculate the limit of the function limT(æ → 0) [cosx/x2]]

A: To calculate the limit of the function.

Q: f(x)-f(b) Let f (x) be a function of x. Then f' (b) = lim,→b provided the limit exists. x-b True…

A: Given derivative is, f'b=limx→bfx-fbx-b

Q: x²y² lim(z,y)→(0,0) z²y²+(x−y)²

A: limx,y→0,0x2y2x2y2+x-y2 Let y=mx…