In each part, complete the table and make a conjecture about the value of the limit indicated. Confirm your con- jecture by finding the limit analytically. r-2 (a) f(x) = X f(x) lim f(x) x² - 4 x→2+ 2.00001 2.0001 2.001 2.01 2.1 2.5

Q: lim,-10 f(x) a. b. lim, ,-2+ f(x) 2 c. lim,-s f(x) d. lim,46 f(x)

A:

Q: Consider the function, f(x) = 3x -4. Write and simplify the difference quotient and Find the limit…

A: It is given that, f(x)=3x-4   Difference quotient is defined as that if a function f(x) is given,…

Q: Consider the following function. f(x) = 6x2 - 2x Find the limnit. S(r + Ar) – / (r) lim Ar-0 Ar

A: Given , fx=6x2-2xTo evaluate , lim△x→ofx+△x-fx△x

Q: Use the table for each problem to evaluate the limit 1. lim f(x) = x-3 2.95 2.999 3.001 3.05 f(x)…

A: Given: Find

Q: Find the limit f(X) as x approaches -1 from the left.

A: Graph of f(x) is continuous at x=-1 and f(-1)=2 hence limit f(x) approaches to 2 as x approaches to…

Q: Give the function f(x) = ₁ Evaluate the one-side

A: