Home
Class 11
PHYSICS
Find 1+1/2+1/4+1/8+…. Upto oo....

Find `1+1/2+1/4+1/8+`…. Upto `oo`.

Text Solution

Verified by Experts

Here, `a=1, r=1/2" "` So, `" " S_(oo)=a/(1-r)=1/(1-1/2)=2`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS

    ALLEN|Exercise Part -II Example|61 Videos

  • MISCELLANEOUS

    ALLEN|Exercise Part -II Example Some worked out Examples|1 Videos

  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN|Exercise BEGINNER S BOX-7|8 Videos

  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN|Exercise EXERCISE-IV|8 Videos

Similar Questions

Explore conceptually related problems

Find 1+ 1/2+1/4+1/8+……….to oo

Find the 1+ 1//2+1/4+1/8+… to n terms

Prove that: a^(1/2).a^(1/4).a^(1/8),…….to oo=a.

Find 1-(1)/(2) + (1)/(4) + (1)/(8) + (1)/(16) - (1)/(32) + .......... oo

Show that X^((1)/(2)).X^((1)/(4)).X^((1)/(8)) ... Upto oo = X

(1)/(2) + (1)/(4) + (1)/(8) +(1)/(16) + …" to" oo is

Find 1-(1)/(2)+(1)/(4)-(1)/(8)+(1)/(16)-(1)/(32)+......oo

Find the value of 5^(1//2)xx5^(1//4)xx5^(1//8) ……..upto infinity.