Math, asked by prince139, 1 year ago

limx-0( e perpower tanx-1÷x) solve the limits

Answers

Answered by abhi178
0
Lim(x—>0) e^{tan^-1x/x}

first of all we have to check which type of limit apply here,
put x = 0,
tan^-1(0)/0 = 0/0 is the form of limit.
use L-Hospital rule,

Lim(x—>0) e^{1/(1+x²)/1}
put x = 0 now,
e^{1} = e
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