If y=1+x/(1!)+(x^2)/(2!)+(x^3)/(3!)++(x^...

If `y=1+x/(1!)+(x^2)/(2!)+(x^3)/(3!)++(x^n)/(n !),` show that `(dy)/(dx)-y+(x^n)/(n !)=0.`

A

can't have any real root

B

can't have any repeated root

C

has one positive root

D

none of these

Verified by Experts

The correct Answer is:

B

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