Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
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Limit of (3+2*n)/|-1+2*n|
-
Limit of (3+x^2-4*x)/(-9+x^2)
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Limit of (x^2-3*x)/(-8+x^2)
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Limit of (1+5*x)*(-1+5*x)
- Graphing y =:
- 1/log(x)
- Integral of d{x}:
- 1/log(x)
- Derivative of:
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1/log(x)
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Identical expressions
- one /log(x)
- 1 divide by logarithm of (x)
- one divide by logarithm of (x)
- 1/logx
- 1 divide by log(x)
Limit of the function 1/log(x)
The solution
You have entered
[src]
1 lim ------ x->1+log(x)
$$\lim_{x \to 1^+} \frac{1}{\log{\left(x \right)}}$$
Limit(1/log(x), x, 1)
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
$$\lim_{x \to 1^-} \frac{1}{\log{\left(x \right)}} = \infty$$
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{1}{\log{\left(x \right)}} = \infty$$
$$\lim_{x \to \infty} \frac{1}{\log{\left(x \right)}} = 0$$
More at x→oo
$$\lim_{x \to 0^-} \frac{1}{\log{\left(x \right)}} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{1}{\log{\left(x \right)}} = 0$$
More at x→0 from the right
$$\lim_{x \to -\infty} \frac{1}{\log{\left(x \right)}} = 0$$
More at x→-oo
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{1}{\log{\left(x \right)}} = \infty$$
$$\lim_{x \to \infty} \frac{1}{\log{\left(x \right)}} = 0$$
More at x→oo
$$\lim_{x \to 0^-} \frac{1}{\log{\left(x \right)}} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{1}{\log{\left(x \right)}} = 0$$
More at x→0 from the right
$$\lim_{x \to -\infty} \frac{1}{\log{\left(x \right)}} = 0$$
More at x→-oo
One‐sided limits
[src]
1 lim ------ x->1+log(x)
$$\lim_{x \to 1^+} \frac{1}{\log{\left(x \right)}}$$
oo
$$\infty$$
= 151.499449943397
1 lim ------ x->1-log(x)
$$\lim_{x \to 1^-} \frac{1}{\log{\left(x \right)}}$$
-oo
$$-\infty$$
= -150.499446288514
= -150.499446288514
The graph