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Explain Why L'Hospital's Rule Is Not Applicable to Evaluate limx2x+cosxx\lim _ { x \rightarrow \infty } \frac { 2 x + \cos x } { x }

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Explain why L'Hospital's Rule is not applicable to evaluate limx2x+cosxx\lim _ { x \rightarrow \infty } \frac { 2 x + \cos x } { x } , then find the limit.


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