Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of sin(5*x)
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Limit of log(1+x)
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Limit of (x-3*x^2+4*x^3)/(2*x)
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Limit of log(sin(x))/log(sin(2*x))
- Derivative of:
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1/x
- Equation:
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1/x
- Integral of d{x}:
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1/x
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Identical expressions
- one /x
- 1 divide by x
- one divide by x
Limit of the function 1/x
The solution
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
$$\lim_{x \to 0^-} \frac{1}{x} = \infty$$
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{1}{x} = \infty$$
$$\lim_{x \to \infty} \frac{1}{x} = 0$$
More at x→oo
$$\lim_{x \to 1^-} \frac{1}{x} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{1}{x} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} \frac{1}{x} = 0$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{1}{x} = \infty$$
$$\lim_{x \to \infty} \frac{1}{x} = 0$$
More at x→oo
$$\lim_{x \to 1^-} \frac{1}{x} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{1}{x} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} \frac{1}{x} = 0$$
More at x→-oo
One‐sided limits
[src]
1 lim - x->0+x
$$\lim_{x \to 0^+} \frac{1}{x}$$
oo
$$\infty$$
= 151.0
1 lim - x->0-x
$$\lim_{x \to 0^-} \frac{1}{x}$$
-oo
$$-\infty$$
= -151.0
= -151.0
The graph