Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (5-4*x+3*x^2)/(1-x+2*x^2)
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Limit of ((1+2*x)/(-1+x))^(4*x)
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Limit of (1-7/x)^x
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Limit of ((1+x^2)/(-1+x^2))^(x^2)
- Derivative of:
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x^(5*x)
- Graphing y =:
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x^(5*x)
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Identical expressions
- x^(five *x)
- x to the power of (5 multiply by x)
- x to the power of (five multiply by x)
- x(5*x)
- x5*x
- x^(5x)
- x(5x)
- x5x
- x^5x
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Similar expressions
- (x/(1+x))^(5*x)
- (1+3/(2*x))^(5*x)
- x^5*x^(-n)*sin(x^4)^3
Limit of the function x^(5*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]
5*x lim x x->0+
$$\lim_{x \to 0^+} x^{5 x}$$
1
$$1$$
= 0.990665584888842
5*x lim x x->0-
$$\lim_{x \to 0^-} x^{5 x}$$
1
$$1$$
= (1.00962318136224 - 0.00465001310041654j)
= (1.00962318136224 - 0.00465001310041654j)
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-} x^{5 x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} x^{5 x} = 1$$
$$\lim_{x \to \infty} x^{5 x} = \infty$$
More at x→oo
$$\lim_{x \to 1^-} x^{5 x} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} x^{5 x} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} x^{5 x} = \infty$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} x^{5 x} = 1$$
$$\lim_{x \to \infty} x^{5 x} = \infty$$
More at x→oo
$$\lim_{x \to 1^-} x^{5 x} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} x^{5 x} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} x^{5 x} = \infty$$
More at x→-oo
The graph