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The value of int0^1lim(n->oo)sum(k =0)^n...

The value of `int_0^1lim_(n->oo)sum_(k =0)^n(x^(k+2)2^k)/(k!)dx` is:
(a) `e ^(2) -1`
(b) `2`
(c) `(e ^(2)-1)/(2)`
(d) `(e ^(2) -1)/(4)`

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