Calculate the following limit: [lim _{n ightarrow infty} int_{0}^{1} frac{1+n x^{2}}{left(1+x^{2}ight)^{n}} d x]
Question:
Calculate the following limit:
\[\lim _{n ightarrow \infty} \int_{0}^{1} \frac{1+n x^{2}}{\left(1+x^{2}ight)^{n}} d x\]
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in particular Since Because of the binomial form...View the full answer
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