2. Prove that the following limits exist and evaluate them. 191 11 2 13 nx2 + 3...

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2. Prove that the following limits exist and evaluate them.

191 11 2 13 nx2 + 3 171:12

(a) lim eX In dx.

(b) lim 3 dx.

(c) lim . x x d Slll- +cos- x.

n->oo -1 n-+oo 1 X + nx n-+oo 0 n n

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