Functions Question 134

Question: If $ f(x)= \begin{cases} & x,\ \ \ when\ x>1 \\ & x^{2},,whenx<1 \\ \end{cases} . $ , then $ \underset{x\to 1}{\mathop{\lim }},f(x)= $

[MP PET 1987]

Options:

A) $ x^{2} $

B) $ x $

C) $ -1 $

D) 1

Show Answer

Answer:

Correct Answer: D

Solution:

$ \underset{x\to 1-}{\mathop{\lim }},f(x)=1=\underset{x\to 1+}{\mathop{\lim }},f(x) $ .