Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
- Limit of cosh(1/x)
- Limit of tan(x)/(x^2*cot(3*x))
- Limit of asin(1+x)^2/((1+x)*atan(1+x))
- Limit of log(factorial(n))
-
Identical expressions
- cosh(one /x)
- hyperbolic co sinus of e of ine of (1 divide by x)
- hyperbolic co sinus of e of ine of (one divide by x)
- cosh1/x
- cosh(1 divide by x)
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Similar expressions
- x*cosh(1/x)/(1+x)
- x^2*cosh(1/x)
- cosh(1/x)/(x*(1+x^2))
- x*cosh(1/x)
- x*cosh(1/x)/(1-x^2)
- x^5*cosh(1/x)
- x^4*cosh(1/x)
- (3+x^4)*cosh(1/x)/(2*x)
- x^3*cosh(1/x)
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Expressions with functions
- Hyperbolic cosine cosh
- cosh(x)
- cosh(x)^(x^(-2))
- cosh(x)/x
- cosh(1+x)/cosh(x)
- cosh(n)/cosh(1+n)
Limit of the function cosh(1/x)
The solution
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/1\ lim cosh|-| x->oo \x/
$$\lim_{x \to \infty} \cosh{\left(\frac{1}{x} \right)}$$
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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty} \cosh{\left(\frac{1}{x} \right)} = 1$$
$$\lim_{x \to 0^-} \cosh{\left(\frac{1}{x} \right)} = \infty$$
More at x→0 from the left
$$\lim_{x \to 0^+} \cosh{\left(\frac{1}{x} \right)} = \infty$$
More at x→0 from the right
$$\lim_{x \to 1^-} \cosh{\left(\frac{1}{x} \right)} = \frac{1 + e^{2}}{2 e}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \cosh{\left(\frac{1}{x} \right)} = \frac{1 + e^{2}}{2 e}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \cosh{\left(\frac{1}{x} \right)} = 1$$
More at x→-oo
$$\lim_{x \to 0^-} \cosh{\left(\frac{1}{x} \right)} = \infty$$
More at x→0 from the left
$$\lim_{x \to 0^+} \cosh{\left(\frac{1}{x} \right)} = \infty$$
More at x→0 from the right
$$\lim_{x \to 1^-} \cosh{\left(\frac{1}{x} \right)} = \frac{1 + e^{2}}{2 e}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \cosh{\left(\frac{1}{x} \right)} = \frac{1 + e^{2}}{2 e}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \cosh{\left(\frac{1}{x} \right)} = 1$$
More at x→-oo
The graph