A function f(x) = 1+ 21/x is – | MATH - CONTINUITY | SolveeIt | Solveeit

Today, August 24

Question

A function f(x) = 1+ 2^1/x is –

A

Continuous everywhere

B

Continuous nowhere

C

Discontinuous at x = 0

D

None of these

Answer

Discontinuous at x = 0

Explanation

Solution

f(x) = 1 + 2^1/x f(0) = 1 + 2^∞ ← Not defined

discontinuous at x = 0 where [.] is GIF