Chapter 2.1, Problem 29E

(11 points) Use the given graph of the function g to find the following limits: 1. lim g(x): = x→2 2. lim g(x) = x→2+ 3. lim g(x) = x→2 4. lim g(x) = x→0 5. g(2) = 110 help (limits)

limit

Real Analysis

Based on the example, state whether each statement is true or false. |x−2|<1 implies (C)   |f(x)−1|<ϵ  implies (D)   (D) implies (C)   (C) implies (D)   (D) implies  |f(x)−1|<ϵ

Evaluate each limit. (Use a “*” to indicate a L’Hospital’s step.)

c) lim X+0 \ex-1 X.

Compute and write a sentence explaining how you computed the limits. (seen in attached image)

how to evaluate using limit laws

Figure out that this statement is true or false? if is false explain why?  by using example, and if it is true explain why? When lim x → a f ( x )  exists, the limit is always equal to f ( a ) - Is this statement true or false?