Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of (9+3*x^2+4*x)/(7-7*x+3*x^2)
-
Limit of (-1+2*x)/(1+x+x^2)
-
Limit of -pi+(1+cos(x))/x
-
Limit of (1-5*x)^(1/x)
-
Identical expressions
- sec two ^ two *x^2
- sec2 squared multiply by x squared
- sec two to the power of two multiply by x squared
- sec22*x2
- sec2²*x²
- sec2 to the power of 2*x to the power of 2
- sec2^2x^2
- sec22x2
Limit of the function sec2^2*x^2
The solution
You have entered
[src]
/ 2 2\ lim \sec (2)*x / pi x->--+ 2
$$\lim_{x \to \frac{\pi}{2}^+}\left(x^{2} \sec^{2}{\left(2 \right)}\right)$$
Limit(sec(2)^2*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
One‐sided limits
[src]
/ 2 2\ lim \sec (2)*x / pi x->--+ 2
$$\lim_{x \to \frac{\pi}{2}^+}\left(x^{2} \sec^{2}{\left(2 \right)}\right)$$
2 2
pi *sec (2)
-----------
4
$$\frac{\pi^{2} \sec^{2}{\left(2 \right)}}{4}$$
= 14.2477589494647
/ 2 2\ lim \sec (2)*x / pi x->--- 2
$$\lim_{x \to \frac{\pi}{2}^-}\left(x^{2} \sec^{2}{\left(2 \right)}\right)$$
2 2
pi *sec (2)
-----------
4
$$\frac{\pi^{2} \sec^{2}{\left(2 \right)}}{4}$$
= 14.2477589494647
= 14.2477589494647
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \frac{\pi}{2}^-}\left(x^{2} \sec^{2}{\left(2 \right)}\right) = \frac{\pi^{2} \sec^{2}{\left(2 \right)}}{4}$$
More at x→pi/2 from the left
$$\lim_{x \to \frac{\pi}{2}^+}\left(x^{2} \sec^{2}{\left(2 \right)}\right) = \frac{\pi^{2} \sec^{2}{\left(2 \right)}}{4}$$
$$\lim_{x \to \infty}\left(x^{2} \sec^{2}{\left(2 \right)}\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(x^{2} \sec^{2}{\left(2 \right)}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x^{2} \sec^{2}{\left(2 \right)}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x^{2} \sec^{2}{\left(2 \right)}\right) = \sec^{2}{\left(2 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x^{2} \sec^{2}{\left(2 \right)}\right) = \sec^{2}{\left(2 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x^{2} \sec^{2}{\left(2 \right)}\right) = \infty$$
More at x→-oo
More at x→pi/2 from the left
$$\lim_{x \to \frac{\pi}{2}^+}\left(x^{2} \sec^{2}{\left(2 \right)}\right) = \frac{\pi^{2} \sec^{2}{\left(2 \right)}}{4}$$
$$\lim_{x \to \infty}\left(x^{2} \sec^{2}{\left(2 \right)}\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(x^{2} \sec^{2}{\left(2 \right)}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x^{2} \sec^{2}{\left(2 \right)}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x^{2} \sec^{2}{\left(2 \right)}\right) = \sec^{2}{\left(2 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x^{2} \sec^{2}{\left(2 \right)}\right) = \sec^{2}{\left(2 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x^{2} \sec^{2}{\left(2 \right)}\right) = \infty$$
More at x→-oo
The graph