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Differential Calculus

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1 May 2011 23:38:05 IST

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if f(x)=sin3x+Asin2x+Bsinx divided by x^5 where x is not equal to zero.is continuous at 0.find

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if f(x)=sin3x+Asin2x+Bsinx divided by x^5 where x is not equal to zero.is continuous at 0.find A and B. also find f(0). help me do it without l' hospital's rule.

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abhishek sinha

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Joined: 18 Dec 2007

Posts: 926

10 May 2011 12:35:32 IST

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apply Taylor series expansion for sin x, sin 3x etc upto 5th degree and take limit as x tends to zero .... it will give you condition on the existance of limits involving A and B

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