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if f(x) = x +x^2/1! + x^3/2! +----+ x^n/...

if `f(x) = x +x^2/1! + x^3/2! +----+ x^n/(n-1)! then f(0) + f'(0) + f''(0) + -------f''^---n times (0)` is equal to

A

`(n(n+1))/(2)`

B

`((n^(2)+1))/(2)`

C

`((n(n+1))/(2))^(2)`

D

`(n(n+1)(2n+1))/(6)`

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The correct Answer is:
A
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ARIHANT MATHS-DIFFERENTIATION -Exercise (More Than One Correct Option Type Questions)
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  6. If y=f(x)andx=g(y) are inverse functions of each other, then

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  7. If y is a function of x then (d^2y)/(dx^2)+y \ dy/dx=0. If x is a func...

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  8. Let g(x) = log f(x), where f(x) is a twice differentiable positive fun...

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  9. If the functions f(x)=x^(3)+e^(x//2) " and " g(x)=f^(-1)(x), the value...

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  14. The function f(x)=e^x+x , being differentiable and one-to-one, has a d...

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  15. If f''(x)=-f(x) and g(x)=f^(prime)(x) and F(x)=(f(x/2))^2+(g(x/2))^2 a...

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  16. Write the subsets of {1,2}.

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  18. If y=at^2+2bt-cand t = ax^2+2bx+c, then(d^3y)/(dx^3) equals

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