Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (7+n)/(5+n)
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Limit of (9+3*x^2+4*x)/(7-7*x+3*x^2)
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Limit of ((3-n)^4-(2-n)^4)/((1-n)^3-(1+n)^3)
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Limit of (1+2*n)/(-1+3*n)
- Derivative of:
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log(|x|)
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Identical expressions
- log(|x|)
- logarithm of ( module of x|)
- log|x|
Limit of the function log(|x|)
The solution
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lim log(|x|) x->1+
$$\lim_{x \to 1^+} \log{\left(\left|{x}\right| \right)}$$
Limit(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
One‐sided limits
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lim log(|x|) x->1+
$$\lim_{x \to 1^+} \log{\left(\left|{x}\right| \right)}$$
0
$$0$$
= 9.54288936740968e-30
lim log(|x|) x->1-
$$\lim_{x \to 1^-} \log{\left(\left|{x}\right| \right)}$$
0
$$0$$
= -7.22489922557688e-34
= -7.22489922557688e-34
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 1^-} \log{\left(\left|{x}\right| \right)} = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+} \log{\left(\left|{x}\right| \right)} = 0$$
$$\lim_{x \to \infty} \log{\left(\left|{x}\right| \right)} = \infty$$
More at x→oo
$$\lim_{x \to 0^-} \log{\left(\left|{x}\right| \right)} = -\infty$$
More at x→0 from the left
$$\lim_{x \to 0^+} \log{\left(\left|{x}\right| \right)} = -\infty$$
More at x→0 from the right
$$\lim_{x \to -\infty} \log{\left(\left|{x}\right| \right)} = \infty$$
More at x→-oo
More at x→1 from the left
$$\lim_{x \to 1^+} \log{\left(\left|{x}\right| \right)} = 0$$
$$\lim_{x \to \infty} \log{\left(\left|{x}\right| \right)} = \infty$$
More at x→oo
$$\lim_{x \to 0^-} \log{\left(\left|{x}\right| \right)} = -\infty$$
More at x→0 from the left
$$\lim_{x \to 0^+} \log{\left(\left|{x}\right| \right)} = -\infty$$
More at x→0 from the right
$$\lim_{x \to -\infty} \log{\left(\left|{x}\right| \right)} = \infty$$
More at x→-oo
The graph