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tanh(x)
Limit of the function/ tanh(x)

Limit of the function tanh(x)

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You have entered [src] 
 lim tanh(x)
x->oo
lim⁡x→∞tanh⁡(x)\lim_{x \to \infty} \tanh{\left(x \right)} 
Limit(tanh(x), x, 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
02468-8-6-4-2-10102-2
Plot the graph
Rapid solution [src] 
1
11
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→∞tanh⁡(x)=1\lim_{x \to \infty} \tanh{\left(x \right)} = 1
lim⁡x→0−tanh⁡(x)=0\lim_{x \to 0^-} \tanh{\left(x \right)} = 0
More at x→0 from the left
lim⁡x→0+tanh⁡(x)=0\lim_{x \to 0^+} \tanh{\left(x \right)} = 0
More at x→0 from the right
lim⁡x→1−tanh⁡(x)=tanh⁡(1)\lim_{x \to 1^-} \tanh{\left(x \right)} = \tanh{\left(1 \right)}
More at x→1 from the left
lim⁡x→1+tanh⁡(x)=tanh⁡(1)\lim_{x \to 1^+} \tanh{\left(x \right)} = \tanh{\left(1 \right)}
More at x→1 from the right
lim⁡x→−∞tanh⁡(x)=−1\lim_{x \to -\infty} \tanh{\left(x \right)} = -1
More at x→-oo
The graph
Limit of the function tanh(x)
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