Question
Mathematics Question on Continuity
The right hand and left hand limit of the function
f(x) = \left\\{ \begin{aligned} & \frac{e^{1/x}-1}{e^{1/x}+1}\ \ ,\ \ \text{if x}\ne0 \\\ & \ \ \ \ \ \ 0 \ \ \ \ \ \ \ \ ,\ \ \text{if x = 0} \end{aligned} \right.
are respectively
A
1 and 1
B
1 and -1
C
-1 and -1
D
-1 and 1
Answer
1 and -1
Explanation
Solution
The correct answer is (B) : 1 and -1.