Mister Exam

Other calculators:

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

Limit of the function cosh(1/x)

at →
v

For end points:

The graph:

from to

Piecewise:

The solution

You have entered [src] 
         /  1\
 lim cosh|1*-|
x->oo    \  x/
lim⁡x→∞cosh⁡(1⋅1x)\lim_{x \to \infty} \cosh{\left(1 \cdot \frac{1}{x} \right)} 
Limit(cosh(1/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] 
1
11
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→∞cosh⁡(1⋅1x)=1\lim_{x \to \infty} \cosh{\left(1 \cdot \frac{1}{x} \right)} = 1
lim⁡x→0−cosh⁡(1⋅1x)=∞\lim_{x \to 0^-} \cosh{\left(1 \cdot \frac{1}{x} \right)} = \infty
More at x→0 from the left
lim⁡x→0+cosh⁡(1⋅1x)=∞\lim_{x \to 0^+} \cosh{\left(1 \cdot \frac{1}{x} \right)} = \infty
More at x→0 from the right
lim⁡x→1−cosh⁡(1⋅1x)=cosh⁡(1)\lim_{x \to 1^-} \cosh{\left(1 \cdot \frac{1}{x} \right)} = \cosh{\left(1 \right)}
More at x→1 from the left
lim⁡x→1+cosh⁡(1⋅1x)=cosh⁡(1)\lim_{x \to 1^+} \cosh{\left(1 \cdot \frac{1}{x} \right)} = \cosh{\left(1 \right)}
More at x→1 from the right
lim⁡x→−∞cosh⁡(1⋅1x)=1\lim_{x \to -\infty} \cosh{\left(1 \cdot \frac{1}{x} \right)} = 1
More at x→-oo
The graph
Limit of the function cosh(1/x)
    © Mister Exam – Calculator