Home
Class 12
MATHS
Evaluate : 1^(2) + 2 ^(2) x + 3 ^(2) x ^...

Evaluate `: 1^(2) + 2 ^(2) x + 3 ^(2) x ^(2) + 4 ^(2) x ^(3) ……..` upto infinite terms for `|x| lt 1.`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SEQUENCE & SERIES

    RESONANCE|Exercise SELF PRACTICE PROBLEMS |22 Videos
  • SEQUENCE & SERIES

    RESONANCE|Exercise EXERCISE -1 PART -I RMO|44 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise SSP|55 Videos
  • TEST PAPER

    RESONANCE|Exercise CHEMISTRY|37 Videos

Similar Questions

Explore conceptually related problems

find 1+2^(2)x+3^(2)x^(2)+4^(2)x^(3)+......oo,|x|<1

If 1+2^(2)x+3^(2)x^(2)+4^(2)x^(3)......, then the nth term of the

Find the sum of the series 1+2^(2)x+3^(2)x^(2)+4^(2)x^(3)+"...."" upto "infty|x|lt1 .

(2x + 3) / (x ^ (2) + x-12) <= (1) / (2)

(1) / (x + 1)-(2) / (x ^ (4) -x + 1) <(1-2x) / (x ^ (3) +1)

(x-1) / (x ^ (2) -4x + 3) <1

Evaluate: lim_(x rarr 1) [(x^(4)-2x^(3)-x^(2)+2x)/(x-1)] .