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)
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Limit of x^2/(-2+sqrt(4+x^2))
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Limit of ((5+x^2-6*x)/(5+x^2-5*x))^(2+3*x)
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Limit of (2+x^2+3*x)/(-4+x^2)
- Integral of d{x}:
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x*2^x
- Derivative of:
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x*2^x
- Equation:
- x*2^x
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Identical expressions
- x* two ^x
- x multiply by 2 to the power of x
- x multiply by two to the power of x
- x*2x
- x2^x
- x2x
Limit of the function x*2^x
The solution
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/ x\ lim \x*2 / x->oo
$$\lim_{x \to \infty}\left(2^{x} x\right)$$
Limit(x*2^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
$$\lim_{x \to \infty}\left(2^{x} x\right) = \infty$$
$$\lim_{x \to 0^-}\left(2^{x} x\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(2^{x} x\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(2^{x} x\right) = 2$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(2^{x} x\right) = 2$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(2^{x} x\right) = 0$$
More at x→-oo
$$\lim_{x \to 0^-}\left(2^{x} x\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(2^{x} x\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(2^{x} x\right) = 2$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(2^{x} x\right) = 2$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(2^{x} x\right) = 0$$
More at x→-oo
The graph