Find the values of a and b in order that x→0limx3x(1+acosx)−bsinx=1 [using L' Hospital' srule].

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Question

Find the values of a and b in order that $x \to 0 lim \frac{x ( 1 + a cos x ) - b sin x}{x ^{3}} = 1$ [using L' Hospital' srule].

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Find the values of a and b in order that

x \to 0 lim \frac{x ( 1 + a cos x ) - b sin x}{x ^{3}} = 1

[using L' Hospital' srule].

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Question Text

Find the values of a and b in order that

x \to 0 lim \frac{x ( 1 + a cos x ) - b sin x}{x ^{3}} = 1

[using L' Hospital' srule].