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Limit of the function
:
Limit of x^4+2*cos(x)^2
Limit of sin(-1+x)/(-1+x^3)
Limit of 1/(n*log(n))
Limit of log(5*x)
Sum of series
:
1/5
Integral of d{x}
:
1/5
Identical expressions
one / five
1 divide by 5
one divide by five
Limit of the function
/
1/5
Limit of the function 1/5
at
→
Calculate the limit!
v
For end points:
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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 (1/5) x->oo
$$\lim_{x \to \infty} \frac{1}{5}$$
Limit(1/5, 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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty} \frac{1}{5} = \frac{1}{5}$$
$$\lim_{x \to 0^-} \frac{1}{5} = \frac{1}{5}$$
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{1}{5} = \frac{1}{5}$$
More at x→0 from the right
$$\lim_{x \to 1^-} \frac{1}{5} = \frac{1}{5}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{1}{5} = \frac{1}{5}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \frac{1}{5} = \frac{1}{5}$$
More at x→-oo
Rapid solution
[src]
1/5
$$\frac{1}{5}$$
Expand and simplify
The graph