Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of sin(3*x)/sin(x)
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Limit of n/factorial(n)
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Limit of tan(3*x)
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Limit of sqrt(3)/3
- Derivative of:
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tan(3*x)
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Identical expressions
- tan(three *x)
- tangent of (3 multiply by x)
- tangent of (three multiply by x)
- tan(3x)
- tan3x
Limit of the function tan(3*x)
The solution
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lim tan(3*x) x->-oo
$$\lim_{x \to -\infty} \tan{\left(3 x \right)}$$
Limit(tan(3*x), x, -oo)
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
$$\lim_{x \to -\infty} \tan{\left(3 x \right)} = \left\langle -\infty, \infty\right\rangle$$
$$\lim_{x \to \infty} \tan{\left(3 x \right)} = \left\langle -\infty, \infty\right\rangle$$
More at x→oo
$$\lim_{x \to 0^-} \tan{\left(3 x \right)} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \tan{\left(3 x \right)} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \tan{\left(3 x \right)} = \tan{\left(3 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \tan{\left(3 x \right)} = \tan{\left(3 \right)}$$
More at x→1 from the right
$$\lim_{x \to \infty} \tan{\left(3 x \right)} = \left\langle -\infty, \infty\right\rangle$$
More at x→oo
$$\lim_{x \to 0^-} \tan{\left(3 x \right)} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \tan{\left(3 x \right)} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \tan{\left(3 x \right)} = \tan{\left(3 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \tan{\left(3 x \right)} = \tan{\left(3 \right)}$$
More at x→1 from the right
The graph