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Limit of the function
:
Limit of (1-4*x)^(1/x)
Limit of (-16+x^2+6*x)/(-2-5*x+3*x^2)
Limit of (1+x)^(2/3)-(-1+x)^(2/3)
Limit of 1/3+x/3
Integral of d{x}
:
-1/5
Identical expressions
- one / five
minus 1 divide by 5
minus one divide by five
-1 divide by 5
Similar expressions
1/5
(1-1/(5*n))^(2*n)
1/(-1+e^sin(5*x))-1/(5*x)
Limit of the function
/
-1/5
Limit of the function -1/5
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 (-1/5) 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