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Let x=3^1/3.3^2/9.3^3/27........∞ then x^1/3 is equal to
one year ago

## Answers : (1)

Arun
23012 Points

Dear student

first powerof 3 are arranged.

S =         1/3 + 2/9 + 3/27 +........

S/3 =              1/9 + 2/27 + …....

now subtract

2S/3 = 1/3 + 1/9 + 1/27 +.......

2S/3 = 1/3 / (1- 1/3)

2S/3 = ½

S = ¾

now coming back to question.

x = 3^S

x = 3^(3/4)

hence x^1/3 = 3^1/4
one year ago
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• 731 Video Lectures
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• Test paper with Video Solution
• Mind Map
• Study Planner
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• Discussion Forum
• Previous Year Exam Questions