Show that the function is continuous on the entire real line.

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Show that the function p(x)=ex+cos⁡x1+excos⁡xp(x)=\dfrac{e^{x}+\cos x}{1+e^{x}\cos x} is continuous on the entire real line.

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