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f(x)=(4(with power x)-1)(with whole power 3)/ (sine of(x/4))* log(1+x(power2)/3) is contonuous at x=0?

 


f(x)=(4(with power x)-1)(with whole power 3)/ (sine of(x/4))* log(1+x(power2)/3)     


is contonuous at x=0?

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3 Answers

Viral A. Parmar
41 Points
11 years ago

yes it is continues

Sanjeev Malik IIT BHU
101 Points
11 years ago

f(x)=       (4x-1)3

      ----------------------------

       sin(x/4) *  log(1+x2/3)

 

see that by putting x=0 it gives 0/0 form. so  U CAN APPLY "L HOSPITAL RULE"(differentiating numerator and denominator independently)

now it is,

         3* (4x-1)2 * log4 * 4x

-----------------------------------------------

cos(x/4)*log(1+x2/3)+ sin(x/4)*2/3*1/(x)1/3*1/(1+x2/3)

again 0/0 form by putting x=0...do the same thing as earlier.

it may be long bt this is the concept...keep on differentaing till we get 0/0 form or infinity/infinity form.

other option may be by expanding the gaven things using binomial expansion.

 

please approve by clicking YES below

Viral A. Parmar
41 Points
11 years ago

at least say yes to the reply yar>.......

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