Functions Question 50
Question: $ \underset{x\to 0+}{\mathop{\lim }},\frac{x{e^{1/x}}}{1+{e^{1/x}}}= $
Options:
A) 0
B) 1
C) $ \infty $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
$ \underset{x\to 0+}{\mathop{\lim }},\frac{x}{1+{e^{-1/x}}}=0 $ as $ {e^{-1/x}}\to 0 $ when $ x\to {0^{+}} $