Let f(x)=lim _n →∞log (2+x)-x^2 nsin x/1+x^2 n. Then(1) f is continuous at x=1 (2) lim _x → 1^+ f...

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Let \( f(x)=\lim _{n \rightarrow \infty} \frac{\log _{e}(2+x)-x^{2 n} \sin x}{1+x^{2 n}} \) then : Let \( f(x)=\lim _{n \rightarrow \infty} \frac{\log _{e}(2+x)-x^{2 n} \sin x}{1+x^{2 n}} \) then :
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