Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of x^5
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Limit of sec(x)
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Limit of tan(x)
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Limit of 1/2
- Derivative of:
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x^5
- Integral of d{x}:
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x^5
- Graphing y =:
- x^5
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Identical expressions
- x^ five
- x to the power of 5
- x to the power of five
- x5
- x⁵
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Similar expressions
- (27+27*x^3)/(1+x^5)
- (1+x^3+x^5)/(-2+x^3+3*x)
- (x+x^3)/(2+x^5-4*x^2)
Limit of the function x^5
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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 1^-} x^{5} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} x^{5} = 1$$
$$\lim_{x \to \infty} x^{5} = \infty$$
More at x→oo
$$\lim_{x \to 0^-} x^{5} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} x^{5} = 0$$
More at x→0 from the right
$$\lim_{x \to -\infty} x^{5} = -\infty$$
More at x→-oo
More at x→1 from the left
$$\lim_{x \to 1^+} x^{5} = 1$$
$$\lim_{x \to \infty} x^{5} = \infty$$
More at x→oo
$$\lim_{x \to 0^-} x^{5} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} x^{5} = 0$$
More at x→0 from the right
$$\lim_{x \to -\infty} x^{5} = -\infty$$
More at x→-oo
One‐sided limits
[src]
5 lim x x->1+
$$\lim_{x \to 1^+} x^{5}$$
1
$$1$$
= 1.0
5 lim x x->1-
$$\lim_{x \to 1^-} x^{5}$$
1
$$1$$
= 1.0
= 1.0
The graph