Mister Exam
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Limit of the function
:
Limit of ((1+x)/(1+2*x))^x
Limit of (9^x-8^x)/asin(3*x)
Limit of ((5+6*x)/(-10+x))^(5*x)
Limit of ((-3+2*x)/(5+2*x))^(-1+x)
Identical expressions
(- one / two)^x
( minus 1 divide by 2) to the power of x
( minus one divide by two) to the power of x
(-1/2)x
-1/2x
-1/2^x
(-1 divide by 2)^x
Similar expressions
(1/2)^x
Limit of the function
/
(-1/2)^x
Limit of the function (-1/2)^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 -1/2 x->oo
lim
x
→
∞
(
−
1
2
)
x
\lim_{x \to \infty} \left(- \frac{1}{2}\right)^{x}
x
→
∞
lim
(
−
2
1
)
x
Limit((-1/2)^x, x, oo, dir='-')
The graph
0
2
4
6
8
-8
-6
-4
-2
-10
10
0
2000
Plot the graph
Other limits x→0, -oo, +oo, 1
lim
x
→
∞
(
−
1
2
)
x
\lim_{x \to \infty} \left(- \frac{1}{2}\right)^{x}
x
→
∞
lim
(
−
2
1
)
x
lim
x
→
0
−
(
−
1
2
)
x
=
1
\lim_{x \to 0^-} \left(- \frac{1}{2}\right)^{x} = 1
x
→
0
−
lim
(
−
2
1
)
x
=
1
More at x→0 from the left
lim
x
→
0
+
(
−
1
2
)
x
=
1
\lim_{x \to 0^+} \left(- \frac{1}{2}\right)^{x} = 1
x
→
0
+
lim
(
−
2
1
)
x
=
1
More at x→0 from the right
lim
x
→
1
−
(
−
1
2
)
x
=
−
1
2
\lim_{x \to 1^-} \left(- \frac{1}{2}\right)^{x} = - \frac{1}{2}
x
→
1
−
lim
(
−
2
1
)
x
=
−
2
1
More at x→1 from the left
lim
x
→
1
+
(
−
1
2
)
x
=
−
1
2
\lim_{x \to 1^+} \left(- \frac{1}{2}\right)^{x} = - \frac{1}{2}
x
→
1
+
lim
(
−
2
1
)
x
=
−
2
1
More at x→1 from the right
lim
x
→
−
∞
(
−
1
2
)
x
\lim_{x \to -\infty} \left(- \frac{1}{2}\right)^{x}
x
→
−
∞
lim
(
−
2
1
)
x
More at x→-oo
Rapid solution
[src]
None
None
Expand and simplify
The graph