Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (1+x)/(2+(-7+x)^(1/3))
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Limit of (-1+x)*cos(1/(-1+x))
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Limit of x/(1-(1+x)^(1/3))
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Limit of tan(7*x)^2/sin(4*x^2)
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Identical expressions
- b/a
- b divide by a
Limit of the function b/a
The solution
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/b\ lim |-| b->0+\a/
$$\lim_{b \to 0^+}\left(\frac{b}{a}\right)$$
Limit(b/a, b, 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
One‐sided limits
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/b\ lim |-| b->0+\a/
$$\lim_{b \to 0^+}\left(\frac{b}{a}\right)$$
0
$$0$$
/b\ lim |-| b->0-\a/
$$\lim_{b \to 0^-}\left(\frac{b}{a}\right)$$
0
$$0$$
0
Other limits b→0, -oo, +oo, 1
$$\lim_{b \to 0^-}\left(\frac{b}{a}\right) = 0$$
More at b→0 from the left
$$\lim_{b \to 0^+}\left(\frac{b}{a}\right) = 0$$
$$\lim_{b \to \infty}\left(\frac{b}{a}\right) = \infty \operatorname{sign}{\left(\frac{1}{a} \right)}$$
More at b→oo
$$\lim_{b \to 1^-}\left(\frac{b}{a}\right) = \frac{1}{a}$$
More at b→1 from the left
$$\lim_{b \to 1^+}\left(\frac{b}{a}\right) = \frac{1}{a}$$
More at b→1 from the right
$$\lim_{b \to -\infty}\left(\frac{b}{a}\right) = - \infty \operatorname{sign}{\left(\frac{1}{a} \right)}$$
More at b→-oo
More at b→0 from the left
$$\lim_{b \to 0^+}\left(\frac{b}{a}\right) = 0$$
$$\lim_{b \to \infty}\left(\frac{b}{a}\right) = \infty \operatorname{sign}{\left(\frac{1}{a} \right)}$$
More at b→oo
$$\lim_{b \to 1^-}\left(\frac{b}{a}\right) = \frac{1}{a}$$
More at b→1 from the left
$$\lim_{b \to 1^+}\left(\frac{b}{a}\right) = \frac{1}{a}$$
More at b→1 from the right
$$\lim_{b \to -\infty}\left(\frac{b}{a}\right) = - \infty \operatorname{sign}{\left(\frac{1}{a} \right)}$$
More at b→-oo