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

Limit of the function cosh(x)

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You have entered [src] 
 lim cosh(x)
x->oo
lim⁡x→∞cosh⁡(x)\lim_{x \to \infty} \cosh{\left(x \right)} 
Limit(cosh(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
02468-8-6-4-2-1010020000
Plot the graph
Rapid solution [src] 
oo
∞\infty
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→∞cosh⁡(x)=∞\lim_{x \to \infty} \cosh{\left(x \right)} = \infty
lim⁡x→0−cosh⁡(x)=1\lim_{x \to 0^-} \cosh{\left(x \right)} = 1
More at x→0 from the left
lim⁡x→0+cosh⁡(x)=1\lim_{x \to 0^+} \cosh{\left(x \right)} = 1
More at x→0 from the right
lim⁡x→1−cosh⁡(x)=1+e22e\lim_{x \to 1^-} \cosh{\left(x \right)} = \frac{1 + e^{2}}{2 e}
More at x→1 from the left
lim⁡x→1+cosh⁡(x)=1+e22e\lim_{x \to 1^+} \cosh{\left(x \right)} = \frac{1 + e^{2}}{2 e}
More at x→1 from the right
lim⁡x→−∞cosh⁡(x)=∞\lim_{x \to -\infty} \cosh{\left(x \right)} = \infty
More at x→-oo
The graph
Limit of the function cosh(x)
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