Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of -cos(x)+5*x
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Limit of (-30+x^2-x)/(125+x^3)
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Limit of sin(9*x)
- Limit of cot(pi*x)
- Graphing y =:
- 1/cos(x)
- Derivative of:
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1/cos(x)
- Integral of d{x}:
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1/cos(x)
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Identical expressions
- one /cos(x)
- 1 divide by co sinus of e of (x)
- one divide by co sinus of e of (x)
- 1/cosx
- 1 divide by cos(x)
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Similar expressions
- 1/(cos(x)+sin(x))
- 1/cosx
Limit of the function 1/cos(x)
The solution
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1 lim ------ x->oocos(x)
$$\lim_{x \to \infty} \frac{1}{\cos{\left(x \right)}}$$
Limit(1/cos(x), x, oo, dir='-')
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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty} \frac{1}{\cos{\left(x \right)}} = \left\langle -\infty, \infty\right\rangle$$
$$\lim_{x \to 0^-} \frac{1}{\cos{\left(x \right)}} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{1}{\cos{\left(x \right)}} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} \frac{1}{\cos{\left(x \right)}} = \frac{1}{\cos{\left(1 \right)}}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{1}{\cos{\left(x \right)}} = \frac{1}{\cos{\left(1 \right)}}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \frac{1}{\cos{\left(x \right)}} = \left\langle -\infty, \infty\right\rangle$$
More at x→-oo
$$\lim_{x \to 0^-} \frac{1}{\cos{\left(x \right)}} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{1}{\cos{\left(x \right)}} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} \frac{1}{\cos{\left(x \right)}} = \frac{1}{\cos{\left(1 \right)}}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{1}{\cos{\left(x \right)}} = \frac{1}{\cos{\left(1 \right)}}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \frac{1}{\cos{\left(x \right)}} = \left\langle -\infty, \infty\right\rangle$$
More at x→-oo
The graph