English
Tamil Nadu Board of Secondary EducationHSC Science Class 11

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

Advertisements
Advertisements

Question

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

Options

  • `2/3`

  • `3/2`

  • `- 4/15`

  • `4/15`

MCQ
Advertisements

Solution

`- 4/15`

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 18 | 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

`1/(5 + x)`


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

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


Find `root(3)(10001)` approximately (two decimal places


Prove that `sqrt((1 - x)/(1 + x))` is approximately euqal to `1 - x + x^2/2` when x is very small


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 – 2x) 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)`


Find the value of `sum_("n" = 1)^oo 1/(2"n" - 1) (1/(9^("n" - 1)) + 1/(9^(2"n"- 1)))`


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 (1 + x2)2 (1 + x)n = a0 + a1x + a2x2 + …. + xn + 4 and if a0, a1, a2 are in AP, then n is


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 value of `1/(2!) + 1/(4!) + 1/(6!) + ...` is


Choose the correct alternative:
The value of `1 - 1/2(2/3) + 1/3(2/3)^2  1/4(2/3)^3 + ...` is


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×