Math, asked by Anonymous, 1 year ago

Find the limit...

lim \: x -> 0 \:  e  {}^{ \sin(x) }  - 1 \div x

Answers

Answered by shubhamkumar81
2
it's answer is 1
because according to formula
limx–0 ex -1/x=1
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Anonymous: Ya, but working needed.
shubhamkumar81: what
Anonymous: Answer is 1 but method of solution..?
shubhamkumar81: do you know exponential function limit formula
Anonymous: Yes.
shubhamkumar81: then
shubhamkumar81: sinx cos x tan x does matter
shubhamkumar81: it's value is only 1
Answered by Anonymous
3
e^(sinx) - 1)( sinx)/ x sinx

Now e^sinx -1)/ sinx = 1

sin x /x = 1

So 1

Anonymous: Explain the 2nd step.
Anonymous: OK. I got it.
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