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4^x
Limit of the function/ 4^x

Limit of the function 4^x

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The solution

You have entered [src] 
      x
 lim 4 
x->0+
lim⁡x→0+4x\lim_{x \to 0^+} 4^{x} 
Limit(4^x, x, 0)
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
02468-8-6-4-2-101002000000
Plot the graph
Other limits x→0, -oo, +oo, 1
lim⁡x→0−4x=1\lim_{x \to 0^-} 4^{x} = 1
More at x→0 from the left
lim⁡x→0+4x=1\lim_{x \to 0^+} 4^{x} = 1
lim⁡x→∞4x=∞\lim_{x \to \infty} 4^{x} = \infty
More at x→oo
lim⁡x→1−4x=4\lim_{x \to 1^-} 4^{x} = 4
More at x→1 from the left
lim⁡x→1+4x=4\lim_{x \to 1^+} 4^{x} = 4
More at x→1 from the right
lim⁡x→−∞4x=0\lim_{x \to -\infty} 4^{x} = 0
More at x→-oo
Rapid solution [src] 
1
11
Expand and simplify
One‐sided limits [src] 
      x
 lim 4 
x->0+
lim⁡x→0+4x\lim_{x \to 0^+} 4^{x} 
1
11 
= 1.0
      x
 lim 4 
x->0-
lim⁡x→0−4x\lim_{x \to 0^-} 4^{x} 
1
11 
= 1.0
= 1.0
Numerical answer [src] 
1.0
1.0
The graph
Limit of the function 4^x
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