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Limit of the function
:
Limit of ((-2+x)/x)^(2*x)
Limit of (-15+x^2-2*x)/(-15-7*x+2*x^2)
Limit of (1+x)^(3/2)/(2+x)^(3/2)
Limit of (-2+sqrt(4+x))/atan(5*x)
Sum of series
:
5/3
Canonical form
:
5/3
Identical expressions
five / three
5 divide by 3
five divide by three
Similar expressions
(1+6*x^5)/(3+x^4+2*x^5)
(1-x^2+5*x^5)/(3-x^4)
Limit of the function
/
5/3
Limit of the function 5/3
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 (5/3) x->0+
$$\lim_{x \to 0^+} \frac{5}{3}$$
Limit(5/3, x, 0)
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
One‐sided limits
[src]
lim (5/3) x->0+
$$\lim_{x \to 0^+} \frac{5}{3}$$
5/3
$$\frac{5}{3}$$
= 1.66666666666667
lim (5/3) x->0-
$$\lim_{x \to 0^-} \frac{5}{3}$$
5/3
$$\frac{5}{3}$$
= 1.66666666666667
= 1.66666666666667
Rapid solution
[src]
5/3
$$\frac{5}{3}$$
Expand and simplify
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-} \frac{5}{3} = \frac{5}{3}$$
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{5}{3} = \frac{5}{3}$$
$$\lim_{x \to \infty} \frac{5}{3} = \frac{5}{3}$$
More at x→oo
$$\lim_{x \to 1^-} \frac{5}{3} = \frac{5}{3}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{5}{3} = \frac{5}{3}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \frac{5}{3} = \frac{5}{3}$$
More at x→-oo
Numerical answer
[src]
1.66666666666667
1.66666666666667
The graph