Chapter 2.1, Problem 25E

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

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

5х - 1, X 3

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

limit

an ɛ-8 proof of lim = 14. х-7

5.1(2) Examine le graphique de f (x). And answer those a,b,c questions. C) Is the function f (x) continuous over the interval -3 < x < 8? Explain your answer.

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?

2x а. lim x-3 X- 3