Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-1+3*x)/(5+x^2+7*x)
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Limit of (7+x+x^2)/(-1+e^x)
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Limit of x^2/(-2+sqrt(4+x^2))
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Limit of (x^2-6*x)/(6+x^2-7*x)
- Integral of d{x}:
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x*3^x
- Graphing y =:
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x*3^x
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Identical expressions
- x* three ^x
- x multiply by 3 to the power of x
- x multiply by three to the power of x
- x*3x
- x3^x
- x3x
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Similar expressions
- (1+x*2^x)/(x^2*(1+x*3^x))
- x*3^x*10^(-x)
- (2^x-3^x)/(x*(1+x*3^x))
Limit of the function x*3^x
The solution
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/ x\ lim \x*3 / x->oo
$$\lim_{x \to \infty}\left(3^{x} x\right)$$
Limit(x*3^x, 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
The graph
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty}\left(3^{x} x\right) = \infty$$
$$\lim_{x \to 0^-}\left(3^{x} x\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(3^{x} x\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(3^{x} x\right) = 3$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(3^{x} x\right) = 3$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(3^{x} x\right) = 0$$
More at x→-oo
$$\lim_{x \to 0^-}\left(3^{x} x\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(3^{x} x\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(3^{x} x\right) = 3$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(3^{x} x\right) = 3$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(3^{x} x\right) = 0$$
More at x→-oo
The graph