Evaluate the right, left, and overall limits at the points where x = 0 and x = 1. (If an answer does not exist, enter DNE.)

Question

f(x)=9/x x<0

f(x)=4+x   0 ≤ x ≤ 1

f(x)=5√x x>1

Answer 1

Evaluate the right, left, and overall limits at the points where x = 0 and x = 1. (If an answer does not exist, enter DNE.)

f(x)=9/x x<0

f(x)=4+x  0 ≤ x ≤ 1

f(x)=5√x x>1

Lim_{x-> 0}^- = 9/0^- --> - ∞

Lim_{x-> 0}⁺ = 4 + 0⁺ --> 4

Lim_{x-> 0} = DNE

Lim_{x-> 1}^- = 4 + 1^- --> 5

Lim_{x-> 1}⁺ = 5√1⁺ --> 5

Lim_{x-> 1} = 5