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Explain Why L'Hospital's Rule Is Not Applicable to Evaluate lim⁡x→π2cos⁡xx\lim _ { x \rightarrow \frac { \pi } { 2 } } \frac { \cos x } { x }

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Explain why L'Hospital's Rule is not applicable to evaluate lim⁡x→π2cos⁡xx\lim _ { x \rightarrow \frac { \pi } { 2 } } \frac { \cos x } { x } , then find the limit.

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