Mister Exam
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How to use it?
- Limit of the function:
- Limit of x*y
-
Limit of ((-3+10*x)/(-1+10*x))^(5*x)
-
Limit of factorial(n)/cos(n)
-
Limit of log(tan(x))*tan(x)
- Sum of series:
- x*y
- x*y
- Integral of d{x}:
- x*y
-
Identical expressions
- x*y
- x multiply by y
- xy
-
Similar expressions
- x^y
Limit of the function x*y
The solution
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lim (x*y) x->oo
$$\lim_{x \to \infty}\left(x y\right)$$
Limit(x*y, x, oo, dir='-')
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
$$\lim_{x \to \infty}\left(x y\right) = \infty \operatorname{sign}{\left(y \right)}$$
$$\lim_{x \to 0^-}\left(x y\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x y\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x y\right) = y$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x y\right) = y$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x y\right) = - \infty \operatorname{sign}{\left(y \right)}$$
More at x→-oo
$$\lim_{x \to 0^-}\left(x y\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x y\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x y\right) = y$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x y\right) = y$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x y\right) = - \infty \operatorname{sign}{\left(y \right)}$$
More at x→-oo