English
Tamil Nadu Board of Secondary EducationHSC Science Class 11

Choose the correct alternative:The value of 12!+14!+16!+... is - Mathematics

Advertisements
Advertisements

Question

Choose the correct alternative:
The value of `1/(2!) + 1/(4!) + 1/(6!) + ...` is

Options

  • `("e"^2 + 1)/(2"e")`

  • `("e" + 1)^2/(2"e")`

  • `("e" - 1)^2/(2"e")`

  • `("e"^2 - 1)/(2"e")`

MCQ

Solution

`("e" - 1)^2/(2"e")`

shaalaa.com
Infinite Sequences and Series
  Is there an error in this question or solution?
Chapter 5: Binomial Theorem, Sequences and Series - Exercise 5.5 [Page 233]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 5 Binomial Theorem, Sequences and Series
Exercise 5.5 | Q 19 | Page 233

RELATED QUESTIONS

Expand the following in ascending powers of x and find the condition on x for which the binomial expansion is valid

`2/(3 + 4x)^2`


Expand the following in ascending powers of x and find the condition on x for which the binomial expansion is valid

`(x + 2) - 2/3`


Write the first 6 terms of the exponential series
e5x 


Write the first 6 terms of the exponential series
`"e"^(1/2x)`


Write the first 4 terms of the logarithmic series
log(1 + 4x) Find the intervals on which the expansions are valid.


Write the first 4 terms of the logarithmic series
`log((1 + 3x)/(1 -3x))` Find the intervals on which the expansions are valid.


Write the first 4 terms of the logarithmic series
`log((1 - 2x)/(1 + 2x))` Find the intervals on which the expansions are valid.


Find the coefficient of x4 in the expansion `(3 - 4x + x^2)/"e"^(2x)`


Choose the correct alternative:
The coefficient of x6 in (2 + 2x)10 is


Choose the correct alternative:
The coefficient of x8y12 in the expansion of (2x + 3y)20 is


Choose the correct alternative:
If a is the arithmetic mean and g is the geometric mean of two numbers, then


Choose the correct alternative:
If Sn denotes the sum of n terms of an AP whose common difference is d, the value of Sn − 2Sn−1 + Sn−2 is


Choose the correct alternative:
The sum up to n terms of the series `1/(sqrt(1)  +sqrt(3)) + 1/(sqrt(3) + sqrt(5)) + 1/(sqrt(5) + sqrt(7)) + ...` is 


Choose the correct alternative:
The value of the series `1/2 + 7/4 + 13/8 + 19/16 + ...` is


Choose the correct alternative:
The coefficient of x5 in the series e-2x is


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×