Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (1+x^2+9*x)/(-5+2*x+7*x^2)
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Limit of ((5+x^2-6*x)/(5+x^2-5*x))^(2+3*x)
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Limit of (2+x^2+3*x)/(-4+x^2)
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Limit of (-8+x^2+2*x)/(-2+x)
- Derivative of:
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tan(9*x)
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Identical expressions
- tan(nine *x)
- tangent of (9 multiply by x)
- tangent of (nine multiply by x)
- tan(9x)
- tan9x
Limit of the function tan(9*x)
The solution
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lim tan(9*x) x->0+
$$\lim_{x \to 0^+} \tan{\left(9 x \right)}$$
Limit(tan(9*x), x, 0)
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
One‐sided limits
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lim tan(9*x) x->0+
$$\lim_{x \to 0^+} \tan{\left(9 x \right)}$$
0
$$0$$
= 1.67427871539097e-25
lim tan(9*x) x->0-
$$\lim_{x \to 0^-} \tan{\left(9 x \right)}$$
0
$$0$$
= -1.67427871539097e-25
= -1.67427871539097e-25
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-} \tan{\left(9 x \right)} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \tan{\left(9 x \right)} = 0$$
$$\lim_{x \to \infty} \tan{\left(9 x \right)} = \left\langle -\infty, \infty\right\rangle$$
More at x→oo
$$\lim_{x \to 1^-} \tan{\left(9 x \right)} = \tan{\left(9 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \tan{\left(9 x \right)} = \tan{\left(9 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \tan{\left(9 x \right)} = \left\langle -\infty, \infty\right\rangle$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} \tan{\left(9 x \right)} = 0$$
$$\lim_{x \to \infty} \tan{\left(9 x \right)} = \left\langle -\infty, \infty\right\rangle$$
More at x→oo
$$\lim_{x \to 1^-} \tan{\left(9 x \right)} = \tan{\left(9 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \tan{\left(9 x \right)} = \tan{\left(9 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \tan{\left(9 x \right)} = \left\langle -\infty, \infty\right\rangle$$
More at x→-oo
The graph