Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of x^2*(1/3-cos(8*x)/3)
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Limit of (-2+x^2-x)/(-2+x+3*x^2)
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Limit of (-1+sin(x))/cos(x)
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Limit of (-2*sin(x)+sin(2*x))/(x*log(cos(5*x)))
- Graphing y =:
- x/cos(x)^2
- Integral of d{x}:
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x/cos(x)^2
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Identical expressions
- x/cos(x)^ two
- x divide by co sinus of e of (x) squared
- x divide by co sinus of e of (x) to the power of two
- x/cos(x)2
- x/cosx2
- x/cos(x)²
- x/cos(x) to the power of 2
- x/cosx^2
- x divide by cos(x)^2
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Similar expressions
- x*cot(3*x)/cos(x)^2
- x/cosx^2
Limit of the function x/cos(x)^2
The solution
You have entered
[src]
/ x \
lim |-------|
x->-oo| 2 |
\cos (x)/
$$\lim_{x \to -\infty}\left(\frac{x}{\cos^{2}{\left(x \right)}}\right)$$
Limit(x/cos(x)^2, x, -oo)
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
Rapid solution
[src]
/ x \
lim |-------|
x->-oo| 2 |
\cos (x)/
$$\lim_{x \to -\infty}\left(\frac{x}{\cos^{2}{\left(x \right)}}\right)$$
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to -\infty}\left(\frac{x}{\cos^{2}{\left(x \right)}}\right)$$
$$\lim_{x \to \infty}\left(\frac{x}{\cos^{2}{\left(x \right)}}\right)$$
More at x→oo
$$\lim_{x \to 0^-}\left(\frac{x}{\cos^{2}{\left(x \right)}}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{x}{\cos^{2}{\left(x \right)}}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{x}{\cos^{2}{\left(x \right)}}\right) = \frac{1}{\cos^{2}{\left(1 \right)}}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{x}{\cos^{2}{\left(x \right)}}\right) = \frac{1}{\cos^{2}{\left(1 \right)}}$$
More at x→1 from the right
$$\lim_{x \to \infty}\left(\frac{x}{\cos^{2}{\left(x \right)}}\right)$$
More at x→oo
$$\lim_{x \to 0^-}\left(\frac{x}{\cos^{2}{\left(x \right)}}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{x}{\cos^{2}{\left(x \right)}}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{x}{\cos^{2}{\left(x \right)}}\right) = \frac{1}{\cos^{2}{\left(1 \right)}}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{x}{\cos^{2}{\left(x \right)}}\right) = \frac{1}{\cos^{2}{\left(1 \right)}}$$
More at x→1 from the right
The graph