Sanjeev Malik IIT BHU
Last Activity: 13 Years ago
f(x)= (4x-1)3
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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
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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.
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