Mathematics

Problem

Let

f(x)=\dfrac{x^{2}-4}{x+3}

. Which one of the following statements about the value of

\displaystyle \lim_{x\to 1} f(x)

and

f(1)

is correct? a)

\displaystyle \lim_{x\to 1} f(x)

exists but is not equal to

f(1)

. b) Neither

\displaystyle \lim_{x\to 1} f(x)

nor

f(1)

exists. c) Both

\displaystyle \lim_{x\to 1} f(x)

and

f(1)

exist and are equal. d)

\displaystyle \lim_{x\to 1} f(x)

does not exist but

f(1)

exists.