Home
Class 11
MATHS
Prove that 3^((1)/(2)) xx 3^((1)/(4)) xx...

Prove that `3^((1)/(2)) xx 3^((1)/(4)) xx 3^((1)/(8))`…..= 3

Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    KUMAR PRAKASHAN|Exercise Miscellaneous Exercise|33 Videos

  • SEQUENCE AND SERIES

    KUMAR PRAKASHAN|Exercise Textbook based MCQs|32 Videos

  • SEQUENCE AND SERIES

    KUMAR PRAKASHAN|Exercise Exercise: 9.4|10 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Question of Module)|16 Videos

  • SETS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE|28 Videos

Similar Questions

Explore conceptually related problems

Prove that 9^((1)/(3)) xx 9^((1)/(9)) xx 9^((1)/(27))……oo = 3

Simplify : ((25)^((3)/(2)) xx ( 343 )^((1)/(5)))/( 16^((5)/(4)) xx 8^((4)/(3)) xx 7^((3)/(5)))

Prove that: (1)/((1+a)(2+a)) + (1)/((2+a)(3+a))+ (1)/((3+a)(4+a)) + …..oo=(1)/(1+ a)

For all ngt=1 , prove that , (1)/(1.2) + (1)/(2.3) + (1)/(3.4) + ……+ (1)/(n(n+1)) = (n)/(n+1)

Prove that tan^(-1) 2 + tan^(-1) 3 = (3pi)/4

Prove that tan ^(-1)(1/5) + tan^(-1)(1/7) +tan^(-1)(1/3)+ tan ^(-1)(1/8) = pi/4

Find sum: (1)/(2) + (1)/(3^(2)) + (1)/(2^(3)) + (1)/(3^(4)) + (1)/(2^(5)) + (1)/(3^(6))+ …..oo

(1)/(2 xx 5) + (1)/(5 xx 8) + (1)/(8 xx 11) + …..100 terms= ……

Prove that : 2"cot"^(-1)1/3+"tan"^(-1)3/4=pi .

Show that, (1 xx 2^(2) + 2 xx 3^(2) + ….+ n xx (n+1)^(2))/(1^(2) xx 2 + 2^(2) xx 3 + ….+ n^(2) xx (n+1))= (3n+ 5)/(3n+ 1)