JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

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Application +4 | -1

The coefficient of

{x^n}

in the series

1 + \frac{{a + bx}}{{1!}} + \frac{{{{\left( {a + bx} \right)}^2}}}{{2!}} + \frac{{{{\left( {a + bx} \right)}^3}}}{{3!}} + \ldots ,

View answer and explanation

Correct option: C

{e^a}\frac{{{b^n}}}{{n\;!}}

Option C (

{e^a}\frac{{{b^n}}}{{n\;!}}

) is correct because the coefficient of

{x^n}

in the given series is found by expanding the exponential function.

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