Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (1-log(7*x))^(7*x)
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Limit of sin(x)/sqrt(1-cos(x))
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Limit of (e^x-e^2)/(-2+x)
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Limit of tan(3*x)/(7*x)
- Graphing y =:
- sin(x)/cos(x)^2
- Derivative of:
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sin(x)/cos(x)^2
- Integral of d{x}:
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sin(x)/cos(x)^2
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Identical expressions
- sin(x)/cos(x)^ two
- sinus of (x) divide by co sinus of e of (x) squared
- sinus of (x) divide by co sinus of e of (x) to the power of two
- sin(x)/cos(x)2
- sinx/cosx2
- sin(x)/cos(x)²
- sin(x)/cos(x) to the power of 2
- sinx/cosx^2
- sin(x) divide by cos(x)^2
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Similar expressions
- sinx/cosx^2
Limit of the function sin(x)/cos(x)^2
The solution
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[src]
/ sin(x)\ lim |-------| pi | 2 | x->--+\cos (x)/ 2
$$\lim_{x \to \frac{\pi}{2}^+}\left(\frac{\sin{\left(x \right)}}{\cos^{2}{\left(x \right)}}\right)$$
Limit(sin(x)/(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]
/ sin(x)\ lim |-------| pi | 2 | x->--+\cos (x)/ 2
$$\lim_{x \to \frac{\pi}{2}^+}\left(\frac{\sin{\left(x \right)}}{\cos^{2}{\left(x \right)}}\right)$$
oo
$$\infty$$
= 22800.8333307754
/ sin(x)\ lim |-------| pi | 2 | x->---\cos (x)/ 2
$$\lim_{x \to \frac{\pi}{2}^-}\left(\frac{\sin{\left(x \right)}}{\cos^{2}{\left(x \right)}}\right)$$
oo
$$\infty$$
= 22800.8333307745
= 22800.8333307745
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \frac{\pi}{2}^-}\left(\frac{\sin{\left(x \right)}}{\cos^{2}{\left(x \right)}}\right) = \infty$$
More at x→pi/2 from the left
$$\lim_{x \to \frac{\pi}{2}^+}\left(\frac{\sin{\left(x \right)}}{\cos^{2}{\left(x \right)}}\right) = \infty$$
$$\lim_{x \to \infty}\left(\frac{\sin{\left(x \right)}}{\cos^{2}{\left(x \right)}}\right) = \left\langle -\infty, \infty\right\rangle$$
More at x→oo
$$\lim_{x \to 0^-}\left(\frac{\sin{\left(x \right)}}{\cos^{2}{\left(x \right)}}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{\sin{\left(x \right)}}{\cos^{2}{\left(x \right)}}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{\sin{\left(x \right)}}{\cos^{2}{\left(x \right)}}\right) = \frac{\sin{\left(1 \right)}}{\cos^{2}{\left(1 \right)}}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{\sin{\left(x \right)}}{\cos^{2}{\left(x \right)}}\right) = \frac{\sin{\left(1 \right)}}{\cos^{2}{\left(1 \right)}}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{\sin{\left(x \right)}}{\cos^{2}{\left(x \right)}}\right) = \left\langle -\infty, \infty\right\rangle$$
More at x→-oo
More at x→pi/2 from the left
$$\lim_{x \to \frac{\pi}{2}^+}\left(\frac{\sin{\left(x \right)}}{\cos^{2}{\left(x \right)}}\right) = \infty$$
$$\lim_{x \to \infty}\left(\frac{\sin{\left(x \right)}}{\cos^{2}{\left(x \right)}}\right) = \left\langle -\infty, \infty\right\rangle$$
More at x→oo
$$\lim_{x \to 0^-}\left(\frac{\sin{\left(x \right)}}{\cos^{2}{\left(x \right)}}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{\sin{\left(x \right)}}{\cos^{2}{\left(x \right)}}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{\sin{\left(x \right)}}{\cos^{2}{\left(x \right)}}\right) = \frac{\sin{\left(1 \right)}}{\cos^{2}{\left(1 \right)}}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{\sin{\left(x \right)}}{\cos^{2}{\left(x \right)}}\right) = \frac{\sin{\left(1 \right)}}{\cos^{2}{\left(1 \right)}}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{\sin{\left(x \right)}}{\cos^{2}{\left(x \right)}}\right) = \left\langle -\infty, \infty\right\rangle$$
More at x→-oo
The graph