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Limit of the function
:
Limit of cot(5*pi*x)*log(x)
Limit of sin(n*x)
Limit of log(1+2^x)*log(1+3/x)
Limit of 16
Sum of series
:
16
Derivative of
:
16
Integral of d{x}
:
16
Identical expressions
sixteen
16
Limit of the function
/
16
Limit of the function 16
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]
lim 16 x->2+
lim
x
→
2
+
16
\lim_{x \to 2^+} 16
x
→
2
+
lim
16
Limit(16, 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
-1.0
-0.8
-0.6
-0.4
-0.2
1.0
0.0
0.2
0.4
0.6
0.8
16.00
16.01
Plot the graph
Rapid solution
[src]
16
16
16
16
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim
x
→
2
−
16
=
16
\lim_{x \to 2^-} 16 = 16
x
→
2
−
lim
16
=
16
More at x→2 from the left
lim
x
→
2
+
16
=
16
\lim_{x \to 2^+} 16 = 16
x
→
2
+
lim
16
=
16
lim
x
→
∞
16
=
16
\lim_{x \to \infty} 16 = 16
x
→
∞
lim
16
=
16
More at x→oo
lim
x
→
0
−
16
=
16
\lim_{x \to 0^-} 16 = 16
x
→
0
−
lim
16
=
16
More at x→0 from the left
lim
x
→
0
+
16
=
16
\lim_{x \to 0^+} 16 = 16
x
→
0
+
lim
16
=
16
More at x→0 from the right
lim
x
→
1
−
16
=
16
\lim_{x \to 1^-} 16 = 16
x
→
1
−
lim
16
=
16
More at x→1 from the left
lim
x
→
1
+
16
=
16
\lim_{x \to 1^+} 16 = 16
x
→
1
+
lim
16
=
16
More at x→1 from the right
lim
x
→
−
∞
16
=
16
\lim_{x \to -\infty} 16 = 16
x
→
−
∞
lim
16
=
16
More at x→-oo
One‐sided limits
[src]
lim 16 x->2+
lim
x
→
2
+
16
\lim_{x \to 2^+} 16
x
→
2
+
lim
16
16
16
16
16
= 16
lim 16 x->2-
lim
x
→
2
−
16
\lim_{x \to 2^-} 16
x
→
2
−
lim
16
16
16
16
16
= 16
= 16
Numerical answer
[src]
16
16
The graph