Mister Exam
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How to use it?
- Limit of the function:
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Limit of (-1+e^(2*x))/(3*x)
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Limit of (-1+3*x)/(5+x^2+7*x)
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Limit of 1+13*x/5
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Limit of (7+x+x^2)/(-1+e^x)
- Derivative of:
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2*log(x)
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Identical expressions
- two *log(x)
- 2 multiply by logarithm of (x)
- two multiply by logarithm of (x)
- 2log(x)
- 2logx
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Similar expressions
- x^2*log(x^2)
Limit of the function 2*log(x)
The solution
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lim (2*log(x)) x->-oo
$$\lim_{x \to -\infty}\left(2 \log{\left(x \right)}\right)$$
Limit(2*log(x), x, -oo)
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
$$\lim_{x \to -\infty}\left(2 \log{\left(x \right)}\right) = \infty$$
$$\lim_{x \to \infty}\left(2 \log{\left(x \right)}\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(2 \log{\left(x \right)}\right) = -\infty$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(2 \log{\left(x \right)}\right) = -\infty$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(2 \log{\left(x \right)}\right) = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(2 \log{\left(x \right)}\right) = 0$$
More at x→1 from the right
$$\lim_{x \to \infty}\left(2 \log{\left(x \right)}\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(2 \log{\left(x \right)}\right) = -\infty$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(2 \log{\left(x \right)}\right) = -\infty$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(2 \log{\left(x \right)}\right) = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(2 \log{\left(x \right)}\right) = 0$$
More at x→1 from the right
The graph