Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of x^2*(1/3-cos(8*x)/3)
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Limit of (-2+x^2-x)/(-2+x+3*x^2)
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Limit of (-1+sin(x))/cos(x)
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Limit of (-2*sin(x)+sin(2*x))/(x*log(cos(5*x)))
- Derivative of:
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x^(3*x)
- Integral of d{x}:
- x^(3*x)
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Identical expressions
- x^(three *x)
- x to the power of (3 multiply by x)
- x to the power of (three multiply by x)
- x(3*x)
- x3*x
- x^(3x)
- x(3x)
- x3x
- x^3x
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Similar expressions
- ((5+3*x)/(7+3*x))^(3*x)
- (3^(-x)*(x+3^x))^(3*x)
- (-1+2*x)^(3*x/(-1+x))
- ((-1+x)/(2+x))^(3*x)
- x^3*(x+sin(x))/(5+x^3)
Limit of the function x^(3*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
The graph
One‐sided limits
[src]
3*x lim x x->0+
$$\lim_{x \to 0^+} x^{3 x}$$
1
$$1$$
= 0.994504528835634
3*x lim x x->0-
$$\lim_{x \to 0^-} x^{3 x}$$
1
$$1$$
= (1.00577588432051 - 0.00259560438209252j)
= (1.00577588432051 - 0.00259560438209252j)
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-} x^{3 x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} x^{3 x} = 1$$
$$\lim_{x \to \infty} x^{3 x} = \infty$$
More at x→oo
$$\lim_{x \to 1^-} x^{3 x} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} x^{3 x} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} x^{3 x} = \infty$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} x^{3 x} = 1$$
$$\lim_{x \to \infty} x^{3 x} = \infty$$
More at x→oo
$$\lim_{x \to 1^-} x^{3 x} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} x^{3 x} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} x^{3 x} = \infty$$
More at x→-oo
The graph