Question

Find the values of a and , b if 

_{x\rightarrow \infty }^{lim}\frac{x(1+a\; cos\; x)-b\; sin\; x}{x^{3}}=1

07 Feb 2021
Answer :
Word Count : 215
We are given the following limit expression: \[ \lim_{x \to \infty} \frac{x(1 + a \cos x) - b \sin x}{x^3} = 1 \] ### Step 1: Express the numerator The numerator is: \[ x(1 + a \cos x) - b \sin x = x + a x \cos x - b \sin x _____ ______ ____ _____ _________ _____ _____ _____ ______ _______.
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