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Limit of the function
:
Limit of (-1+x)/log(x)
Limit of (-1+e^(3*x))/x
Limit of (-1+e^x)/sin(x)
Limit of 2*x*sin(5*x)/5
Derivative of
:
5^x
Integral of d{x}
:
5^x
Graphing y =
:
5^x
Identical expressions
five ^x
5 to the power of x
five to the power of x
5x
Similar expressions
7^(-x)*(5^x-3^x)
(3/5)^x
Limit of the function
/
5^x
Limit of the function 5^x
at
→
Calculate the limit!
v
For end points:
---------
From the left (x0-)
From the right (x0+)
The graph:
from
to
Piecewise:
{
enter the piecewise function here
The solution
You have entered
[src]
x lim 5 x->oo
lim
x
→
∞
5
x
\lim_{x \to \infty} 5^{x}
x
→
∞
lim
5
x
Limit(5^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
0
2
4
6
8
-8
-6
-4
-2
-10
10
0
10000000
Plot the graph
Rapid solution
[src]
oo
∞
\infty
∞
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim
x
→
∞
5
x
=
∞
\lim_{x \to \infty} 5^{x} = \infty
x
→
∞
lim
5
x
=
∞
lim
x
→
0
−
5
x
=
1
\lim_{x \to 0^-} 5^{x} = 1
x
→
0
−
lim
5
x
=
1
More at x→0 from the left
lim
x
→
0
+
5
x
=
1
\lim_{x \to 0^+} 5^{x} = 1
x
→
0
+
lim
5
x
=
1
More at x→0 from the right
lim
x
→
1
−
5
x
=
5
\lim_{x \to 1^-} 5^{x} = 5
x
→
1
−
lim
5
x
=
5
More at x→1 from the left
lim
x
→
1
+
5
x
=
5
\lim_{x \to 1^+} 5^{x} = 5
x
→
1
+
lim
5
x
=
5
More at x→1 from the right
lim
x
→
−
∞
5
x
=
0
\lim_{x \to -\infty} 5^{x} = 0
x
→
−
∞
lim
5
x
=
0
More at x→-oo
The graph