Mister Exam
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How to use it?
- Limit of the function:
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Limit of 2+((-1+x)/(3+x))^x
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Limit of (-1+x)/(x+x^2)
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Limit of ((1+x)^4-(-1+x)^4)/((1+x)^4+(-1+x)^4)
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Limit of tan(6*x)/(3*x)
- Derivative of:
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log(7*x)
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Identical expressions
- log(seven *x)
- logarithm of (7 multiply by x)
- logarithm of (seven multiply by x)
- log(7x)
- log7x
Limit of the function log(7*x)
The solution
You have entered
[src]
lim log(7*x) x->0+
$$\lim_{x \to 0^+} \log{\left(7 x \right)}$$
Limit(log(7*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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-} \log{\left(7 x \right)} = -\infty$$
More at x→0 from the left
$$\lim_{x \to 0^+} \log{\left(7 x \right)} = -\infty$$
$$\lim_{x \to \infty} \log{\left(7 x \right)} = \infty$$
More at x→oo
$$\lim_{x \to 1^-} \log{\left(7 x \right)} = \log{\left(7 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \log{\left(7 x \right)} = \log{\left(7 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \log{\left(7 x \right)} = \infty$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} \log{\left(7 x \right)} = -\infty$$
$$\lim_{x \to \infty} \log{\left(7 x \right)} = \infty$$
More at x→oo
$$\lim_{x \to 1^-} \log{\left(7 x \right)} = \log{\left(7 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \log{\left(7 x \right)} = \log{\left(7 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \log{\left(7 x \right)} = \infty$$
More at x→-oo
One‐sided limits
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lim log(7*x) x->0+
$$\lim_{x \to 0^+} \log{\left(7 x \right)}$$
-oo
$$-\infty$$
= -3.07136968775961
lim log(7*x) x->0-
$$\lim_{x \to 0^-} \log{\left(7 x \right)}$$
-oo
$$-\infty$$
= (-3.07136968775961 + 3.14159265358979j)
= (-3.07136968775961 + 3.14159265358979j)
The graph