Discuss the continuity of the function f(x) = _ n (2+x) - x^ 2n x 1+x^ 2n at x = 1

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

Problem

Discuss the continuity of the function f(x)=lim⁡n→∞log⁡(2+x)−x2nsin⁡x1+x2nat x=1f(x) = \lim_{n \to \infty} \frac{\log(2+x) - x^{2n} \sin x}{1+x^{2n}} \quad \text{at } x = 1

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