Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of (1-x)^(1/x)
- Limit of (e^(a*x)-e^(b*x))/sin(x)
-
Limit of ((-1+5*x^2)/(-1+7*x^2))^(1+5*x)
-
Limit of 5*x^4
- Sum of series:
- cos(x)^2
- Graphing y =:
-
cos(x)^2
- Derivative of:
-
cos(x)^2
-
Identical expressions
- cos(x)^ two
- co sinus of e of (x) squared
- co sinus of e of (x) to the power of two
- cos(x)2
- cosx2
- cos(x)²
- cos(x) to the power of 2
- cosx^2
-
Similar expressions
- cos(x)^2*(-1+x)/x^2
- (x-pi/2)/cos(x)^2
- (1-cos(x^2))/x^2
- 1-cos(x)^24/x^2
- cosx^2
Limit of the function cos(x)^2
The solution
You have entered
[src]
2
lim cos (x)
-pi
x->----+
2
$$\lim_{x \to \frac{\left(-1\right) \pi}{2}^+} \cos^{2}{\left(x \right)}$$
Limit(cos(x)^2, 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 cos (x)
-pi
x->----+
2
$$\lim_{x \to \frac{\left(-1\right) \pi}{2}^+} \cos^{2}{\left(x \right)}$$
0
$$0$$
= 1.88597981818432e-31
2
lim cos (x)
-pi
x->-----
2
$$\lim_{x \to \frac{\left(-1\right) \pi}{2}^-} \cos^{2}{\left(x \right)}$$
0
$$0$$
= 1.88597981818432e-31
= 1.88597981818432e-31
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \frac{\left(-1\right) \pi}{2}^-} \cos^{2}{\left(x \right)} = 0$$
More at x→-pi/2 from the left
$$\lim_{x \to \frac{\left(-1\right) \pi}{2}^+} \cos^{2}{\left(x \right)} = 0$$
$$\lim_{x \to \infty} \cos^{2}{\left(x \right)} = \left\langle 0, 1\right\rangle$$
More at x→oo
$$\lim_{x \to 0^-} \cos^{2}{\left(x \right)} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} \cos^{2}{\left(x \right)} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} \cos^{2}{\left(x \right)} = \cos^{2}{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \cos^{2}{\left(x \right)} = \cos^{2}{\left(1 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \cos^{2}{\left(x \right)} = \left\langle 0, 1\right\rangle$$
More at x→-oo
More at x→-pi/2 from the left
$$\lim_{x \to \frac{\left(-1\right) \pi}{2}^+} \cos^{2}{\left(x \right)} = 0$$
$$\lim_{x \to \infty} \cos^{2}{\left(x \right)} = \left\langle 0, 1\right\rangle$$
More at x→oo
$$\lim_{x \to 0^-} \cos^{2}{\left(x \right)} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} \cos^{2}{\left(x \right)} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} \cos^{2}{\left(x \right)} = \cos^{2}{\left(1 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \cos^{2}{\left(x \right)} = \cos^{2}{\left(1 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \cos^{2}{\left(x \right)} = \left\langle 0, 1\right\rangle$$
More at x→-oo
The graph