Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of (42+x^2-13*x)/(-90+x^2+9*x)
-
Limit of (32+x^2+12*x)/(-16+x^2)
-
Limit of (27+x^2+12*x)/(-9+x^2)
-
Limit of ((-1+x)/(1+x))^(3*x)
- Derivative of:
-
sin(x)^2*tan(x)
-
Identical expressions
- sin(x)^ two *tan(x)
- sinus of (x) squared multiply by tangent of (x)
- sinus of (x) to the power of two multiply by tangent of (x)
- sin(x)2*tan(x)
- sinx2*tanx
- sin(x)²*tan(x)
- sin(x) to the power of 2*tan(x)
- sin(x)^2tan(x)
- sin(x)2tan(x)
- sinx2tanx
- sinx^2tanx
-
Similar expressions
- sinx^2*tan(x)
Limit of the function sin(x)^2*tan(x)
The solution
You have entered
[src]
/ 2 \ lim \sin (x)*tan(x)/ pi x->--+ 2
$$\lim_{x \to \frac{\pi}{2}^+}\left(\sin^{2}{\left(x \right)} \tan{\left(x \right)}\right)$$
Limit(sin(x)^2*tan(x), x, pi/2)
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
[src]
/ 2 \ lim \sin (x)*tan(x)/ pi x->--+ 2
$$\lim_{x \to \frac{\pi}{2}^+}\left(\sin^{2}{\left(x \right)} \tan{\left(x \right)}\right)$$
-oo
$$-\infty$$
= -150.991170165103
/ 2 \ lim \sin (x)*tan(x)/ pi x->--- 2
$$\lim_{x \to \frac{\pi}{2}^-}\left(\sin^{2}{\left(x \right)} \tan{\left(x \right)}\right)$$
oo
$$\infty$$
= 150.9911701651
= 150.9911701651
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \frac{\pi}{2}^-}\left(\sin^{2}{\left(x \right)} \tan{\left(x \right)}\right) = -\infty$$
More at x→pi/2 from the left
$$\lim_{x \to \frac{\pi}{2}^+}\left(\sin^{2}{\left(x \right)} \tan{\left(x \right)}\right) = -\infty$$
$$\lim_{x \to \infty}\left(\sin^{2}{\left(x \right)} \tan{\left(x \right)}\right)$$
More at x→oo
$$\lim_{x \to 0^-}\left(\sin^{2}{\left(x \right)} \tan{\left(x \right)}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\sin^{2}{\left(x \right)} \tan{\left(x \right)}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\sin^{2}{\left(x \right)} \tan{\left(x \right)}\right) = \sin^{2}{\left(1 \right)} \tan{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\sin^{2}{\left(x \right)} \tan{\left(x \right)}\right) = \sin^{2}{\left(1 \right)} \tan{\left(1 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\sin^{2}{\left(x \right)} \tan{\left(x \right)}\right)$$
More at x→-oo
More at x→pi/2 from the left
$$\lim_{x \to \frac{\pi}{2}^+}\left(\sin^{2}{\left(x \right)} \tan{\left(x \right)}\right) = -\infty$$
$$\lim_{x \to \infty}\left(\sin^{2}{\left(x \right)} \tan{\left(x \right)}\right)$$
More at x→oo
$$\lim_{x \to 0^-}\left(\sin^{2}{\left(x \right)} \tan{\left(x \right)}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\sin^{2}{\left(x \right)} \tan{\left(x \right)}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\sin^{2}{\left(x \right)} \tan{\left(x \right)}\right) = \sin^{2}{\left(1 \right)} \tan{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\sin^{2}{\left(x \right)} \tan{\left(x \right)}\right) = \sin^{2}{\left(1 \right)} \tan{\left(1 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\sin^{2}{\left(x \right)} \tan{\left(x \right)}\right)$$
More at x→-oo
The graph