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Sum of the infinite series 1/(2!)+(1+2)/...

Sum of the infinite series `1/(2!)+(1+2)/(3!)+(1+2+3)/(4!)+ tooo` `e/3` b. `e` c. `e/2` d. none of these

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RESONANCE DPP-JEE MAINS-All Questions
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  2. The sum underset(i=0)overset(3m)(sum)((20),(3m-i)), where ((p),(q))=0 ...

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  3. Sum of the infinite series 1/(2!)+(1+2)/(3!)+(1+2+3)/(4!)+ tooo e/3 b...

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  4. Find n in the binomial (2 3+1/(3 3))^n , if the ration 7th term from t...

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  5. Sum the series from n=1ton=oo, whose nth term is 1/((n+1)!)

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  6. Given the family of lines a (3x +4y+6)+b(x + y + 2) = 0 The line of th...

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  7. If in the expansion of (1+x)^m (1-x)^n, the coefficients of x and x^2 ...

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  8. The coefficient of x^6 in series e^(2x) is 4/(25) b. 3/(45) c. 2/(45) ...

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  10. Find the sum of the coefficients of all the integral powers of x in th...

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  11. Find the sum of the following infinite series 1/2(1/5)^2+2/3(1/5)^3...

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  12. The centre of the circle passing through (0, 0) and (1, 0) and touchin...

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  13. If an=sum(r=0)^n1/(^n Cr) , then sum(r=0)^n r/(^n Cr) equals (n-1)an b...

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  14. Prove that :(log)e((x+1)/x)=2[1/((2x+1))+1/(3(2x+1)^3)+1/(5(2x+1)^5)+]

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  15. Two aeroplanes I and II bomb a target in succession. The probabilit...

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  16. The lines 3x+4y=9&4x-3y+12=0 intersect at Pdot The first line intersec...

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  17. If alpha,beta are the roots of the equation x^2-p x+q=0, prove that (l...

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  18. A bag initially contains 1 red and 2 blue balls. An experiment consist...

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  19. If the circles x^2+y^2-2x-2y+7=0 and x^2+y^2+4x+2y+k=0 cut orthogonall...

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  20. int1^2 (dx/(x(x^4+1))) is equal to

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