Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (3+2*n)/|-1+2*n|
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Limit of (3+x^2-4*x)/(-9+x^2)
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Limit of (x^2-3*x)/(-8+x^2)
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Limit of (1+5*x)*(-1+5*x)
- Derivative of:
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tan(2*x)
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Identical expressions
- tan(two *x)
- tangent of (2 multiply by x)
- tangent of (two multiply by x)
- tan(2x)
- tan2x
Limit of the function tan(2*x)
The solution
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[src]
lim tan(2*x) pi x->--+ 4
$$\lim_{x \to \frac{\pi}{4}^+} \tan{\left(2 x \right)}$$
Limit(tan(2*x), x, pi/4)
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(2*x) pi x->--+ 4
$$\lim_{x \to \frac{\pi}{4}^+} \tan{\left(2 x \right)}$$
-oo
$$-\infty$$
= -75.4955849373267
lim tan(2*x) pi x->--- 4
$$\lim_{x \to \frac{\pi}{4}^-} \tan{\left(2 x \right)}$$
oo
$$\infty$$
= 75.495584937326
= 75.495584937326
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \frac{\pi}{4}^-} \tan{\left(2 x \right)} = -\infty$$
More at x→pi/4 from the left
$$\lim_{x \to \frac{\pi}{4}^+} \tan{\left(2 x \right)} = -\infty$$
$$\lim_{x \to \infty} \tan{\left(2 x \right)} = \left\langle -\infty, \infty\right\rangle$$
More at x→oo
$$\lim_{x \to 0^-} \tan{\left(2 x \right)} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \tan{\left(2 x \right)} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \tan{\left(2 x \right)} = \tan{\left(2 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \tan{\left(2 x \right)} = \tan{\left(2 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \tan{\left(2 x \right)} = \left\langle -\infty, \infty\right\rangle$$
More at x→-oo
More at x→pi/4 from the left
$$\lim_{x \to \frac{\pi}{4}^+} \tan{\left(2 x \right)} = -\infty$$
$$\lim_{x \to \infty} \tan{\left(2 x \right)} = \left\langle -\infty, \infty\right\rangle$$
More at x→oo
$$\lim_{x \to 0^-} \tan{\left(2 x \right)} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \tan{\left(2 x \right)} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \tan{\left(2 x \right)} = \tan{\left(2 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \tan{\left(2 x \right)} = \tan{\left(2 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \tan{\left(2 x \right)} = \left\langle -\infty, \infty\right\rangle$$
More at x→-oo
The graph