Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-1+e^(2*x))/(3*x)
-
Limit of (-1+3*x)/(5+x^2+7*x)
-
Limit of 1+13*x/5
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Limit of (7+x+x^2)/(-1+e^x)
- Derivative of:
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2*tan(x)
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Identical expressions
- two *tan(x)
- 2 multiply by tangent of (x)
- two multiply by tangent of (x)
- 2tan(x)
- 2tanx
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Similar expressions
- (x/2)^tan(x)
- (x-pi/2)*tan(x)
- 2*tan(x^2)/sin(x)^2
Limit of the function 2*tan(x)
The solution
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lim (2*tan(x)) pi x->--+ 4
$$\lim_{x \to \frac{\pi}{4}^+}\left(2 \tan{\left(x \right)}\right)$$
Limit(2*tan(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 (2*tan(x)) pi x->--+ 4
$$\lim_{x \to \frac{\pi}{4}^+}\left(2 \tan{\left(x \right)}\right)$$
2
$$2$$
= 2.0
lim (2*tan(x)) pi x->--- 4
$$\lim_{x \to \frac{\pi}{4}^-}\left(2 \tan{\left(x \right)}\right)$$
2
$$2$$
= 2.0
= 2.0
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \frac{\pi}{4}^-}\left(2 \tan{\left(x \right)}\right) = 2$$
More at x→pi/4 from the left
$$\lim_{x \to \frac{\pi}{4}^+}\left(2 \tan{\left(x \right)}\right) = 2$$
$$\lim_{x \to \infty}\left(2 \tan{\left(x \right)}\right)$$
More at x→oo
$$\lim_{x \to 0^-}\left(2 \tan{\left(x \right)}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(2 \tan{\left(x \right)}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(2 \tan{\left(x \right)}\right) = 2 \tan{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(2 \tan{\left(x \right)}\right) = 2 \tan{\left(1 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(2 \tan{\left(x \right)}\right)$$
More at x→-oo
More at x→pi/4 from the left
$$\lim_{x \to \frac{\pi}{4}^+}\left(2 \tan{\left(x \right)}\right) = 2$$
$$\lim_{x \to \infty}\left(2 \tan{\left(x \right)}\right)$$
More at x→oo
$$\lim_{x \to 0^-}\left(2 \tan{\left(x \right)}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(2 \tan{\left(x \right)}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(2 \tan{\left(x \right)}\right) = 2 \tan{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(2 \tan{\left(x \right)}\right) = 2 \tan{\left(1 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(2 \tan{\left(x \right)}\right)$$
More at x→-oo
The graph