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Grade Upto college levelDifferential Calculus

The value of Limx→∞ 3x sin ( 4 / 3x ) is :-

Profile image of Mainak Chakraborty
16 Years agoGrade Upto college level
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1 Answer

Profile image of Askiitians Expert Soumyajit IIT-Kharagpur
16 Years ago

Dear Mainak Chakraborty,

Ans: Let 3^x=1/z Hence when x→∞ then z→0

So the limit becomes Lt z→0 {sin(4z)}/z

=4(ans)

 

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SOUMYAJIT IIT_KHARAGPUR

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