Flag IIT JEE Entrance Exam> If f(x) =(1+|sinx|) ^(a÷|sinx|) , -π÷6 =b...
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If f(x) =(1+|sinx|) ^(a÷|sinx|), -π÷6=b, x=0=e^(tan2x÷tan3x), 0Find a and b so that the function is continuous at x=0

Rutuja mangle , 6 Years ago
Grade 12
anser 1 Answers
Aditya Gupta

Last Activity: 6 Years ago

RHL= e^(2/3) coz tan2x/tan3x can be written as tan2x/2x*3x/tan3x*2/3 and lim y tends to zero tany/y=1
So b=e^(2/3)
For LHL, put |sinx|= z
Then we have (1+z)^a/z= e^a
So a=2/3

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