Near , a function oscillates between and with increasing frequency and is undefined…

MATHEMATICS · Subjective · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

Near

x=5

, a function

q

oscillates between

-1

and

1

with increasing frequency and is undefined at

x=5

, showing no tendency toward any single value. Decide whether

\displaystyle \lim_{x\to 5} q(x)

exists, and state the limit if it does.