   Chapter 2.2, Problem 6E

Chapter
Section
Textbook Problem

For the function h whose graph is given, state the value of each quantity, if it exists. If it does not exist, explain why.(a) lim x → 3 − h ( x ) (b) lim x → 3 + h ( x ) (c) lim x → − 3 h ( x ) (d) h ( − 3 ) (e) lim x → 0 − h ( x ) (f) lim x → 0 + h ( x ) (g) lim x → 0 h ( x ) (h) h ( 0 ) (i) lim x → 2 h ( x ) (j) h ( 2 ) (k) lim x → 5 + h ( x ) (l) lim x → 5 − h ( x ) (a)

To determine

To find: The value of limx3h(x).

Explanation

From the given graph, it is found that the curve move towards y=4 as x approaches −3 from the left, that is x>3

(b)

To determine

To find: The value of limx3+h(x).

(c)

To determine

To find: The value of limx3h(x).

(d)

To determine

To find: The value of h(3).

(e)

To determine

To find: The value of limx0h(x).

(f)

To determine

To find: The value of limx0+h(x).

(g)

To determine

To find: The value of limx0h(x).

(h)

To determine

To find: The value of h(0).

(i)

To determine

To find: The value of limx2h(x).

(j)

To determine

To find: The value of h(2).

(k)

To determine

To find: The value of limx5+h(x).

(l)

To determine

To find: The value of limx5h(x).

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