Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
-
Limit of (1-log(7*x))^(7*x)
-
Limit of sin(x)/sqrt(1-cos(x))
-
Limit of (e^x-e^2)/(-2+x)
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Limit of tan(3*x)/(7*x)
- Graphing y =:
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x/cos(x)
- Integral of d{x}:
- x/cos(x)
- Derivative of:
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x/cos(x)
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Identical expressions
- x/cos(x)
- x divide by co sinus of e of (x)
- x/cosx
- x divide by cos(x)
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Similar expressions
- (-1+sin(x))/cos(x)
- sin(x)/cos(x)
- sin(x)/cos(x)^2
- (e^x-e^(-x))/(cos(x)*sin(x))
- x/cosx
Limit of the function x/cos(x)
The solution
You have entered
[src]
/ x \ lim |------| pi \cos(x)/ x->--+ 2
$$\lim_{x \to \frac{\pi}{2}^+}\left(\frac{x}{\cos{\left(x \right)}}\right)$$
Limit(x/cos(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]
/ x \ lim |------| pi \cos(x)/ x->--+ 2
$$\lim_{x \to \frac{\pi}{2}^+}\left(\frac{x}{\cos{\left(x \right)}}\right)$$
-oo
$$-\infty$$
= -238.191986435341320052509091895913528235144774912993302226301284566229385294
/ x \ lim |------| pi \cos(x)/ x->--- 2
$$\lim_{x \to \frac{\pi}{2}^-}\left(\frac{x}{\cos{\left(x \right)}}\right)$$
oo
$$\infty$$
= 236.191971816020284677983751395024098056346170774251379209457793290960721601
= 236.191971816020284677983751395024098056346170774251379209457793290960721601
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \frac{\pi}{2}^-}\left(\frac{x}{\cos{\left(x \right)}}\right) = -\infty$$
More at x→pi/2 from the left
$$\lim_{x \to \frac{\pi}{2}^+}\left(\frac{x}{\cos{\left(x \right)}}\right) = -\infty$$
$$\lim_{x \to \infty}\left(\frac{x}{\cos{\left(x \right)}}\right)$$
More at x→oo
$$\lim_{x \to 0^-}\left(\frac{x}{\cos{\left(x \right)}}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{x}{\cos{\left(x \right)}}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{x}{\cos{\left(x \right)}}\right) = \frac{1}{\cos{\left(1 \right)}}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{x}{\cos{\left(x \right)}}\right) = \frac{1}{\cos{\left(1 \right)}}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{x}{\cos{\left(x \right)}}\right)$$
More at x→-oo
More at x→pi/2 from the left
$$\lim_{x \to \frac{\pi}{2}^+}\left(\frac{x}{\cos{\left(x \right)}}\right) = -\infty$$
$$\lim_{x \to \infty}\left(\frac{x}{\cos{\left(x \right)}}\right)$$
More at x→oo
$$\lim_{x \to 0^-}\left(\frac{x}{\cos{\left(x \right)}}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{x}{\cos{\left(x \right)}}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{x}{\cos{\left(x \right)}}\right) = \frac{1}{\cos{\left(1 \right)}}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{x}{\cos{\left(x \right)}}\right) = \frac{1}{\cos{\left(1 \right)}}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{x}{\cos{\left(x \right)}}\right)$$
More at x→-oo
Numerical answer
[src]
-238.191986435341320052509091895913528235144774912993302226301284566229385294
-238.191986435341320052509091895913528235144774912993302226301284566229385294
The graph