Math  /  Calculus

QuestionFind limxcos(1+πxx)\lim _{x \rightarrow \infty} \cos \left(\frac{1+\pi x}{x}\right).

Studdy Solution
The cosine of π\pi is -1. Therefore, the limit of the function as x approaches infinity is -1.
cos(0+π)=1\cos \left(0+\pi \right) = -1So, limxcos(1+πxx)=1\lim{x \rightarrow \infty} \cos \left(\frac{1+\pi x}{x}\right) = -1.

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