prove: limit (x) tends to 0 ((sinlog(1+x)/x))=1


limit (x) tends to 0 ((sinlog(1+x)/x))=1


2 Answers

AKASH GOYAL AskiitiansExpert-IITD
419 Points
12 years ago

Dear Abhik

this is 0/0 form apply L hospital rule

differentiate wrt x


put x=0


cos0= 1

All the best.




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vikas askiitian expert
509 Points
12 years ago

lim x->0 sinlog(1+x)/x

 at x=0 ,  0/0 form comes so we can use L holpital rule

        differentiating numerator and denominator

after differentiating

limx->0 coslog(1+x) /1+x



hence proved

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