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x^(5/2)
Limit of the function/ x^(5/2)

Limit of the function x^(5/2)

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You have entered [src] 
      5/2
 lim x   
x->oo
lim⁡x→∞x52\lim_{x \to \infty} x^{\frac{5}{2}} 
Limit(x^(5/2), 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
02468-8-6-4-2-10100500
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Rapid solution [src] 
oo
∞\infty
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→∞x52=∞\lim_{x \to \infty} x^{\frac{5}{2}} = \infty
lim⁡x→0−x52=0\lim_{x \to 0^-} x^{\frac{5}{2}} = 0
More at x→0 from the left
lim⁡x→0+x52=0\lim_{x \to 0^+} x^{\frac{5}{2}} = 0
More at x→0 from the right
lim⁡x→1−x52=1\lim_{x \to 1^-} x^{\frac{5}{2}} = 1
More at x→1 from the left
lim⁡x→1+x52=1\lim_{x \to 1^+} x^{\frac{5}{2}} = 1
More at x→1 from the right
lim⁡x→−∞x52=∞i\lim_{x \to -\infty} x^{\frac{5}{2}} = \infty i
More at x→-oo
The graph
Limit of the function x^(5/2)
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