Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (3+2*n)/|-1+2*n|
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Limit of (x^2-3*x)/(-8+x^2)
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Limit of (1+5*x)*(-1+5*x)
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Limit of (5-3*x^2-2*x)/(3+x+x^2)
- Derivative of:
- f*x
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Identical expressions
- f*x
- f multiply by x
- fx
Limit of the function f*x
The solution
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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to a^-}\left(f x\right) = a f$$
More at x→a from the left
$$\lim_{x \to a^+}\left(f x\right) = a f$$
$$\lim_{x \to \infty}\left(f x\right) = \infty \operatorname{sign}{\left(f \right)}$$
More at x→oo
$$\lim_{x \to 0^-}\left(f x\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(f x\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(f x\right) = f$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(f x\right) = f$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(f x\right) = - \infty \operatorname{sign}{\left(f \right)}$$
More at x→-oo
More at x→a from the left
$$\lim_{x \to a^+}\left(f x\right) = a f$$
$$\lim_{x \to \infty}\left(f x\right) = \infty \operatorname{sign}{\left(f \right)}$$
More at x→oo
$$\lim_{x \to 0^-}\left(f x\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(f x\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(f x\right) = f$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(f x\right) = f$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(f x\right) = - \infty \operatorname{sign}{\left(f \right)}$$
More at x→-oo
One‐sided limits
[src]
lim (f*x) x->a+
$$\lim_{x \to a^+}\left(f x\right)$$
a*f
$$a f$$
lim (f*x) x->a-
$$\lim_{x \to a^-}\left(f x\right)$$
a*f
$$a f$$
a*f