Mister Exam

Other calculators:

x^(-3/(2*x))
Limit of the function/ x^(-3/(2*x))

Limit of the function x^(-3/(2*x))

at →
v

For end points:

The graph:

from to

Piecewise:

The solution

You have entered [src] 
      -3 
      ---
      2*x
 lim x   
x->oo
lim⁡x→∞x−32x\lim_{x \to \infty} x^{- \frac{3}{2 x}} 
Limit(x^(-3*1/(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
02468-8-6-4-2-101001000000000000000
Plot the graph
Rapid solution [src] 
1
11
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→∞x−32x=1\lim_{x \to \infty} x^{- \frac{3}{2 x}} = 1
lim⁡x→0−x−32x=0\lim_{x \to 0^-} x^{- \frac{3}{2 x}} = 0
More at x→0 from the left
lim⁡x→0+x−32x=∞\lim_{x \to 0^+} x^{- \frac{3}{2 x}} = \infty
More at x→0 from the right
lim⁡x→1−x−32x=1\lim_{x \to 1^-} x^{- \frac{3}{2 x}} = 1
More at x→1 from the left
lim⁡x→1+x−32x=1\lim_{x \to 1^+} x^{- \frac{3}{2 x}} = 1
More at x→1 from the right
lim⁡x→−∞x−32x=1\lim_{x \to -\infty} x^{- \frac{3}{2 x}} = 1
More at x→-oo
The graph
Limit of the function x^(-3/(2*x))
    © Mister Exam – Calculator