\stackrel{lim}{x\to0} 1/{1-e^{-1/x}}is

BPSC 46th Exam Prelims 2004 Solved Paper

Question : 136 of 150

Marks: +1, -0

{x→0}↖{lim} 1/{1-e^{-1/x}}

Solution:

\lim ↙{x → 0} \;{1}/{1-e^{-\;{1}/{x}}}

When

x → 0^{+}

⇒ e^{-\;{1}/{x}}=0

then

\lim ↙{x → 0^{+}} \;{1}/{1-e^{-\;{1}/{x}}}=\;{1}/{1-0}=1

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