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Question: Show that :![](https://cdn.pureessence.tech/canvas_338.png?top_left_x=600&top_left_y=300&width=300&h...

Show that :r=0nnCrnr(r+3)\sum_{r = 0}^{n}\frac{nC_{r}}{n^{r}(r + 3)} = e – 2

A

e – 1

B

2 – e

C

e – 2

D

None of these

Answer

e – 2

Explanation

Solution

Q dx =

\ . .

= dx

= dx

=

= {x2 (ex) – (2x) (ex) + 2ex}1 0 (By successive method)

=

= e – 2.