Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of (1+x)/(2+(-7+x)^(1/3))
-
Limit of (-1+x)*cos(1/(-1+x))
-
Limit of x/(1-(1+x)^(1/3))
-
Limit of tan(7*x)^2/sin(4*x^2)
- Graphing y =:
- sqrt(cos(2*x))
- Integral of d{x}:
- sqrt(cos(2*x))
-
Identical expressions
- sqrt(cos(two *x))
- square root of ( co sinus of e of (2 multiply by x))
- square root of ( co sinus of e of (two multiply by x))
- √(cos(2*x))
- sqrt(cos(2x))
- sqrtcos2x
Limit of the function sqrt(cos(2*x))
The solution
You have entered
[src]
__________ lim \/ cos(2*x) x->0+
$$\lim_{x \to 0^+} \sqrt{\cos{\left(2 x \right)}}$$
Limit(sqrt(cos(2*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
[src]
__________ lim \/ cos(2*x) x->0+
$$\lim_{x \to 0^+} \sqrt{\cos{\left(2 x \right)}}$$
1
$$1$$
= 1.0
__________ lim \/ cos(2*x) x->0-
$$\lim_{x \to 0^-} \sqrt{\cos{\left(2 x \right)}}$$
1
$$1$$
= 1.0
= 1.0
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-} \sqrt{\cos{\left(2 x \right)}} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{\cos{\left(2 x \right)}} = 1$$
$$\lim_{x \to \infty} \sqrt{\cos{\left(2 x \right)}} = \left\langle 0, 1\right\rangle$$
More at x→oo
$$\lim_{x \to 1^-} \sqrt{\cos{\left(2 x \right)}} = \sqrt{\cos{\left(2 \right)}}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{\cos{\left(2 x \right)}} = \sqrt{\cos{\left(2 \right)}}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{\cos{\left(2 x \right)}} = \left\langle 0, 1\right\rangle$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{\cos{\left(2 x \right)}} = 1$$
$$\lim_{x \to \infty} \sqrt{\cos{\left(2 x \right)}} = \left\langle 0, 1\right\rangle$$
More at x→oo
$$\lim_{x \to 1^-} \sqrt{\cos{\left(2 x \right)}} = \sqrt{\cos{\left(2 \right)}}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{\cos{\left(2 x \right)}} = \sqrt{\cos{\left(2 \right)}}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{\cos{\left(2 x \right)}} = \left\langle 0, 1\right\rangle$$
More at x→-oo
The graph