Show that lim n tends to infinity [1/n + 1/n+1 + 1/n+2 +...+ 1/3n] = log 3
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Concept:
Limit is used to give values to functions which does not have defined values. It is used in mathematical physics.
Given:
The equation
Find:
Proof the equation.
Solution:
According to the problem,
Now lower the limit
Since, for the first term.
Upper limit
Since, for the last term.
Thus
Hence, when limit tends to infinity when the series becomes
proofing the equation.
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