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log(1+1/n)
Limit of the function/ log(1+1/n)

Limit of the function log(1+1/n)

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You have entered [src] 
        /    1\
 lim log|1 + -|
n->oo   \    n/
lim⁡n→∞log⁡(1+1n)\lim_{n \to \infty} \log{\left(1 + \frac{1}{n} \right)} 
Limit(log(1 + 1/n), n, oo, dir='-')
Lopital's rule
There is no sense to apply Lopital's rule to this function since there is no indeterminateness of 0/0 or oo/oo type
The graph
02468-8-6-4-2-10105-5
Plot the graph
Rapid solution [src] 
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Expand and simplify
Other limits n→0, -oo, +oo, 1
lim⁡n→∞log⁡(1+1n)=0\lim_{n \to \infty} \log{\left(1 + \frac{1}{n} \right)} = 0
lim⁡n→0−log⁡(1+1n)=∞\lim_{n \to 0^-} \log{\left(1 + \frac{1}{n} \right)} = \infty
More at n→0 from the left
lim⁡n→0+log⁡(1+1n)=∞\lim_{n \to 0^+} \log{\left(1 + \frac{1}{n} \right)} = \infty
More at n→0 from the right
lim⁡n→1−log⁡(1+1n)=log⁡(2)\lim_{n \to 1^-} \log{\left(1 + \frac{1}{n} \right)} = \log{\left(2 \right)}
More at n→1 from the left
lim⁡n→1+log⁡(1+1n)=log⁡(2)\lim_{n \to 1^+} \log{\left(1 + \frac{1}{n} \right)} = \log{\left(2 \right)}
More at n→1 from the right
lim⁡n→−∞log⁡(1+1n)=0\lim_{n \to -\infty} \log{\left(1 + \frac{1}{n} \right)} = 0
More at n→-oo
The graph
Limit of the function log(1+1/n)
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