Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of sin(2/x)
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Limit of (-1+x)^2/(-1+x^2)
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Limit of x-x^2/3
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Limit of sin(3*x^2)/x^2
- Graphing y =:
- 1/(x*cos(x))
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Identical expressions
- one /(x*cos(x))
- 1 divide by (x multiply by co sinus of e of (x))
- one divide by (x multiply by co sinus of e of (x))
- 1/(xcos(x))
- 1/xcosx
- 1 divide by (x*cos(x))
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Similar expressions
- 1/(x*cosx)
Limit of the function 1/(x*cos(x))
The solution
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[src]
1 lim -------- x->0+x*cos(x)
$$\lim_{x \to 0^+} \frac{1}{x \cos{\left(x \right)}}$$
Limit(1/(x*cos(x)), x, 0)
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
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1 lim -------- x->0+x*cos(x)
$$\lim_{x \to 0^+} \frac{1}{x \cos{\left(x \right)}}$$
oo
$$\infty$$
= 151.003311318789
1 lim -------- x->0-x*cos(x)
$$\lim_{x \to 0^-} \frac{1}{x \cos{\left(x \right)}}$$
-oo
$$-\infty$$
= -151.003311318789
= -151.003311318789
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-} \frac{1}{x \cos{\left(x \right)}} = \infty$$
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{1}{x \cos{\left(x \right)}} = \infty$$
$$\lim_{x \to \infty} \frac{1}{x \cos{\left(x \right)}}$$
More at x→oo
$$\lim_{x \to 1^-} \frac{1}{x \cos{\left(x \right)}} = \frac{1}{\cos{\left(1 \right)}}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{1}{x \cos{\left(x \right)}} = \frac{1}{\cos{\left(1 \right)}}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \frac{1}{x \cos{\left(x \right)}}$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{1}{x \cos{\left(x \right)}} = \infty$$
$$\lim_{x \to \infty} \frac{1}{x \cos{\left(x \right)}}$$
More at x→oo
$$\lim_{x \to 1^-} \frac{1}{x \cos{\left(x \right)}} = \frac{1}{\cos{\left(1 \right)}}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{1}{x \cos{\left(x \right)}} = \frac{1}{\cos{\left(1 \right)}}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \frac{1}{x \cos{\left(x \right)}}$$
More at x→-oo
The graph