Home
Class 11
MATHS
If f(x)=1+x+(x^2)/2++(x^(100))/(100), th...

If `f(x)=1+x+(x^2)/2++(x^(100))/(100),` then `f^(prime)(1)` is equal to `1/(100)` b. `100` c. 50 d. 0

A

`1/100`

B

100

C

does not exist

D

0

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    MODERN PUBLICATION|Exercise CHECK YOUR UNDERSTANDING|10 Videos
  • LIMITS AND DERIVATIVES

    MODERN PUBLICATION|Exercise COMPETITION FILE|8 Videos
  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos
  • LINEAR INEQUATIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

If f(x)=1+x+(x^(2))/(2)++(x^(100))/(100), then f'(1) is equal to (1)/(100)b.100c.50d.0

If x+1/x =2 and x^(100) -1/x^(100) =

Knowledge Check

  • If f(x)=x^(100)+x^(99)+……+x+1 , then f(1) is equal to

    A
    99
    B
    100
    C
    101
    D
    51
  • Similar Questions

    Explore conceptually related problems

    If f(x)=1+x+x^(2)+.......+x^(100) then f'(1)=-

    If f(x)=1+x+x^(2)+...+x^(100) then find f' (1).

    If f(x)=x^(100)+x^(99)++x+1, then f'(1) is equal to 5050 b.5049 c.5051 d.50051

    32.If x+(1)/(x)=2 then x^(100)-(1)/(x^(100)) is

    If f(x)=1-x^(2)-x^(3)+-x^(99)+x^(100) then f'(1) equals 150 b.-50 c.-150 d.50

    If f(x)=x^(100)-2x+1 is divided by x^(2)-1 then the remainder is equal to

    If f(x)=|(x,1,1),(0, 1+x, 1),(-x^2, 1+x, 1+x)| , then 1/10^4 f(100) is equal to