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x^4
Limit of the function/ x^4

Limit of the function x^4

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The solution

You have entered [src] 
      4
 lim x 
x->2+
lim⁡x→2+x4\lim_{x \to 2^+} x^{4} 
Limit(x^4, x, 2)
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
-4.0-3.0-2.0-1.04.00.01.02.03.00500
Plot the graph
One‐sided limits [src] 
      4
 lim x 
x->2+
lim⁡x→2+x4\lim_{x \to 2^+} x^{4} 
16
1616 
= 16.0
      4
 lim x 
x->2-
lim⁡x→2−x4\lim_{x \to 2^-} x^{4} 
16
1616 
= 16.0
= 16.0
Rapid solution [src] 
16
1616
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→2−x4=16\lim_{x \to 2^-} x^{4} = 16
More at x→2 from the left
lim⁡x→2+x4=16\lim_{x \to 2^+} x^{4} = 16
lim⁡x→∞x4=∞\lim_{x \to \infty} x^{4} = \infty
More at x→oo
lim⁡x→0−x4=0\lim_{x \to 0^-} x^{4} = 0
More at x→0 from the left
lim⁡x→0+x4=0\lim_{x \to 0^+} x^{4} = 0
More at x→0 from the right
lim⁡x→1−x4=1\lim_{x \to 1^-} x^{4} = 1
More at x→1 from the left
lim⁡x→1+x4=1\lim_{x \to 1^+} x^{4} = 1
More at x→1 from the right
lim⁡x→−∞x4=∞\lim_{x \to -\infty} x^{4} = \infty
More at x→-oo
Numerical answer [src] 
16.0
16.0
The graph
Limit of the function x^4
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