Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (3+2*x)/(1-5*x)
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Limit of (1-2*cos(x))/sin(3*x)
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Limit of (-6+x^2-x)/(-21+x+2*x^2)
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Limit of ((4+x^2+5*x)/(7+x^2-3*x))^x
- Derivative of:
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log(3-x)
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Identical expressions
- log(three -x)
- logarithm of (3 minus x)
- logarithm of (three minus x)
- log3-x
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Similar expressions
- log(3+x)
Limit of the function log(3-x)
The solution
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lim log(3 - x) x->2+
$$\lim_{x \to 2^+} \log{\left(3 - x \right)}$$
Limit(log(3 - x), x, 2)
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(3 - x) x->2+
$$\lim_{x \to 2^+} \log{\left(3 - x \right)}$$
0
$$0$$
= -7.22489922557688e-34
lim log(3 - x) x->2-
$$\lim_{x \to 2^-} \log{\left(3 - x \right)}$$
0
$$0$$
= 9.54288936740968e-30
= 9.54288936740968e-30
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 2^-} \log{\left(3 - x \right)} = 0$$
More at x→2 from the left
$$\lim_{x \to 2^+} \log{\left(3 - x \right)} = 0$$
$$\lim_{x \to \infty} \log{\left(3 - x \right)} = \infty$$
More at x→oo
$$\lim_{x \to 0^-} \log{\left(3 - x \right)} = \log{\left(3 \right)}$$
More at x→0 from the left
$$\lim_{x \to 0^+} \log{\left(3 - x \right)} = \log{\left(3 \right)}$$
More at x→0 from the right
$$\lim_{x \to 1^-} \log{\left(3 - x \right)} = \log{\left(2 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \log{\left(3 - x \right)} = \log{\left(2 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \log{\left(3 - x \right)} = \infty$$
More at x→-oo
More at x→2 from the left
$$\lim_{x \to 2^+} \log{\left(3 - x \right)} = 0$$
$$\lim_{x \to \infty} \log{\left(3 - x \right)} = \infty$$
More at x→oo
$$\lim_{x \to 0^-} \log{\left(3 - x \right)} = \log{\left(3 \right)}$$
More at x→0 from the left
$$\lim_{x \to 0^+} \log{\left(3 - x \right)} = \log{\left(3 \right)}$$
More at x→0 from the right
$$\lim_{x \to 1^-} \log{\left(3 - x \right)} = \log{\left(2 \right)}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \log{\left(3 - x \right)} = \log{\left(2 \right)}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \log{\left(3 - x \right)} = \infty$$
More at x→-oo
The graph