Just a basic log

Calculus Level 1

What is the value of lim ⁡ n → 0 + log ⁡ n \displaystyle \lim_{n\to 0^+} \log n ?

∞ \infty 0 0 1 1 - ∞ \infty

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Tanishq Choudhary by Tanishq Choudhary , 19, India

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3 solutions

Kay Xspre
Jan 29, 2016

As lim ⁡ n → ∞ 1 n = 0 \displaystyle \lim_{n\rightarrow\infty}\frac{1}{n} = 0 , we evaluate the limit of lim ⁡ n → ∞ l o g ( 1 n ) = 0 − lim ⁡ n → ∞ l o g ( n ) = − ∞ \displaystyle \lim_{n\rightarrow\infty}log(\frac{1}{n}) = 0-\lim_{n\rightarrow\infty}log(n) = -\infty

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Tanishq Choudhary
Jan 29, 2016

Let Log0 = x, therefore 10 to the power x = 0, now only 10 to the power -∞ can be zero as to get 0.

3 Helpful 0 Interesting 0 Brilliant 0 Confused
Sudhanshu Mishra
Feb 3, 2016

Simply look the graph of logx.. you get the and at 0 it tends to -infinite

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