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1/cosh(x)
Limit of the function/ 1/cosh(x)

Limit of the function 1/cosh(x)

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        1   
 lim -------
x->oocosh(x)
lim⁡x→∞1cosh⁡(x)\lim_{x \to \infty} \frac{1}{\cosh{\left(x \right)}} 
Limit(1/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
02468-8-6-4-2-101002
Plot the graph
Rapid solution [src] 
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Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→∞1cosh⁡(x)=0\lim_{x \to \infty} \frac{1}{\cosh{\left(x \right)}} = 0
lim⁡x→0−1cosh⁡(x)=1\lim_{x \to 0^-} \frac{1}{\cosh{\left(x \right)}} = 1
More at x→0 from the left
lim⁡x→0+1cosh⁡(x)=1\lim_{x \to 0^+} \frac{1}{\cosh{\left(x \right)}} = 1
More at x→0 from the right
lim⁡x→1−1cosh⁡(x)=2e1+e2\lim_{x \to 1^-} \frac{1}{\cosh{\left(x \right)}} = \frac{2 e}{1 + e^{2}}
More at x→1 from the left
lim⁡x→1+1cosh⁡(x)=2e1+e2\lim_{x \to 1^+} \frac{1}{\cosh{\left(x \right)}} = \frac{2 e}{1 + e^{2}}
More at x→1 from the right
lim⁡x→−∞1cosh⁡(x)=0\lim_{x \to -\infty} \frac{1}{\cosh{\left(x \right)}} = 0
More at x→-oo
The graph
Limit of the function 1/cosh(x)
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