Question

The limit of $f(x)=x^2$ as $x$ tends to zero equals

• A. zero
• B. one
• C. two
• D. three

Answer 1

Answer: (A)

Given function $f(x)=x^2$. Observe that as $x$ takes values very close to 0 , the value of $f(x)$ also approaches towards 0 .
We say $\underset{x\to 0}{\lim }f(x)=0$
(i.e., the limit of $f(x)$ as $x$ tends to zero equals zero). The limit of $f(x)$ as $x$ tends to zero is to be thought of as the value $f(x)$ should assume at $x=0$.