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3^x
Limit of the function/ 3^x

Limit of the function 3^x

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The solution

You have entered [src] 
      x
 lim 3 
x->1+
lim⁡x→1+3x\lim_{x \to 1^+} 3^{x} 
Limit(3^x, x, 1)
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
-2.0-1.5-1.0-0.52.00.00.51.01.5010
Plot the graph
Rapid solution [src] 
3
33
Expand and simplify
One‐sided limits [src] 
      x
 lim 3 
x->1+
lim⁡x→1+3x\lim_{x \to 1^+} 3^{x} 
3
33 
= 3.0
      x
 lim 3 
x->1-
lim⁡x→1−3x\lim_{x \to 1^-} 3^{x} 
3
33 
= 3.0
= 3.0
Other limits x→0, -oo, +oo, 1
lim⁡x→1−3x=3\lim_{x \to 1^-} 3^{x} = 3
More at x→1 from the left
lim⁡x→1+3x=3\lim_{x \to 1^+} 3^{x} = 3
lim⁡x→∞3x=∞\lim_{x \to \infty} 3^{x} = \infty
More at x→oo
lim⁡x→0−3x=1\lim_{x \to 0^-} 3^{x} = 1
More at x→0 from the left
lim⁡x→0+3x=1\lim_{x \to 0^+} 3^{x} = 1
More at x→0 from the right
lim⁡x→−∞3x=0\lim_{x \to -\infty} 3^{x} = 0
More at x→-oo
Numerical answer [src] 
3.0
3.0
The graph
Limit of the function 3^x
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