Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of tanh(x)
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Limit of log(log(x))
- Limit of log(factorial(n))
- Limit of (x^4-a^4)/(x-a)
- Graphing y =:
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tanh(x)
- Derivative of:
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tanh(x)
- Integral of d{x}:
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tanh(x)
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Identical expressions
- tanh(x)
- hyperbolic tangent of gent of (x)
- tanhx
Limit of the function tanh(x)
The solution
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lim tanh(x) x->oo
$$\lim_{x \to \infty} \tanh{\left(x \right)}$$
Limit(tanh(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
$$\lim_{x \to \infty} \tanh{\left(x \right)} = 1$$
$$\lim_{x \to 0^-} \tanh{\left(x \right)} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \tanh{\left(x \right)} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \tanh{\left(x \right)} = \tanh{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \tanh{\left(x \right)} = \tanh{\left(1 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \tanh{\left(x \right)} = -1$$
More at x→-oo
$$\lim_{x \to 0^-} \tanh{\left(x \right)} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \tanh{\left(x \right)} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \tanh{\left(x \right)} = \tanh{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \tanh{\left(x \right)} = \tanh{\left(1 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \tanh{\left(x \right)} = -1$$
More at x→-oo
The graph