calculus- fucntions

Question

For the function g whose graph is given, state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.)

(a)    lim t → 0⁻ g(t)

(b)    lim t → 0⁺ g(t)

(c)    lim t → 0 g(t)

(d)    lim t → 2⁻ g(t)

(e)    lim t → 2⁺ g(t)

(f)    lim t → 2 g(t)

(g)    g(2)

(h)    lim t → 4 g(t)

Answer 1

Think of limits as the y-value that a function approaches as your input (in this case, t) approaches the given value indicated by the arrow sign, regardless of whether or not the function exists at that point.

a) -1

b) -2

c) Since the two limits on either side do not match, the result when t approaches 0 in general is "DNE"

d) 2

e) 0

f) Do not match; DNE

g) 1

h) 3