Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (1-log(7*x))^(7*x)
-
Limit of sin(x)/sqrt(1-cos(x))
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Limit of (e^x-e^2)/(-2+x)
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Limit of tan(3*x)/(7*x)
- Derivative of:
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log(4*x)
- Graphing y =:
- log(4*x)
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Identical expressions
- log(four *x)
- logarithm of (4 multiply by x)
- logarithm of (four multiply by x)
- log(4x)
- log4x
Limit of the function log(4*x)
The solution
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lim log(4*x) x->oo
$$\lim_{x \to \infty} \log{\left(4 x \right)}$$
Limit(log(4*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
$$\lim_{x \to \infty} \log{\left(4 x \right)} = \infty$$
$$\lim_{x \to 0^-} \log{\left(4 x \right)} = -\infty$$
More at x→0 from the left
$$\lim_{x \to 0^+} \log{\left(4 x \right)} = -\infty$$
More at x→0 from the right
$$\lim_{x \to 1^-} \log{\left(4 x \right)} = 2 \log{\left(2 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \log{\left(4 x \right)} = 2 \log{\left(2 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \log{\left(4 x \right)} = \infty$$
More at x→-oo
$$\lim_{x \to 0^-} \log{\left(4 x \right)} = -\infty$$
More at x→0 from the left
$$\lim_{x \to 0^+} \log{\left(4 x \right)} = -\infty$$
More at x→0 from the right
$$\lim_{x \to 1^-} \log{\left(4 x \right)} = 2 \log{\left(2 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \log{\left(4 x \right)} = 2 \log{\left(2 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \log{\left(4 x \right)} = \infty$$
More at x→-oo
The graph