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Limit of the function
:
Limit of 1/2
Limit of cot(5*pi*x)*log(x)
Limit of log(-1+x)/cot(pi*x)
Limit of sqrt(x)
Sum of series
:
1/2
Derivative of
:
1/2
Integral of d{x}
:
1/2
Identical expressions
one / two
1 divide by 2
one divide by two
Similar expressions
1/(2*x^2)
-1/(2*x^2)
Limit of the function
/
1/2
Limit of the function 1/2
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 (1/2) x->oo
$$\lim_{x \to \infty} \frac{1}{2}$$
Limit(1/2, 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
Plot the graph
Rapid solution
[src]
1/2
$$\frac{1}{2}$$
Expand and simplify
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty} \frac{1}{2} = \frac{1}{2}$$
$$\lim_{x \to 0^-} \frac{1}{2} = \frac{1}{2}$$
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{1}{2} = \frac{1}{2}$$
More at x→0 from the right
$$\lim_{x \to 1^-} \frac{1}{2} = \frac{1}{2}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{1}{2} = \frac{1}{2}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \frac{1}{2} = \frac{1}{2}$$
More at x→-oo
The graph