Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of cosh(x)
-
Limit of sin(7*x)
-
Limit of sin(6*x)
-
Limit of pi-2*acot(x)/(-1+e^(3/x))
- Graphing y =:
-
cosh(x)
- Derivative of:
-
cosh(x)
- Integral of d{x}:
-
cosh(x)
-
Identical expressions
- cosh(x)
- hyperbolic co sinus of e of ine of (x)
- coshx
Limit of the function cosh(x)
The solution
You have entered
[src]
lim cosh(x) x->oo
$$\lim_{x \to \infty} \cosh{\left(x \right)}$$
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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty} \cosh{\left(x \right)} = \infty$$
$$\lim_{x \to 0^-} \cosh{\left(x \right)} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} \cosh{\left(x \right)} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} \cosh{\left(x \right)} = \frac{1 + e^{2}}{2 e}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \cosh{\left(x \right)} = \frac{1 + e^{2}}{2 e}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \cosh{\left(x \right)} = \infty$$
More at x→-oo
$$\lim_{x \to 0^-} \cosh{\left(x \right)} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} \cosh{\left(x \right)} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} \cosh{\left(x \right)} = \frac{1 + e^{2}}{2 e}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \cosh{\left(x \right)} = \frac{1 + e^{2}}{2 e}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \cosh{\left(x \right)} = \infty$$
More at x→-oo
The graph