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Limit of the function
:
Limit of (-1+3*x)/(5+x^2+7*x)
Limit of (7+x+x^2)/(-1+e^x)
Limit of ((-2+x)/(1+3*x))^(5*x)
Limit of (-tan(2*x)+sin(2*x))/x^3
Integral of d{x}
:
8+x
Identical expressions
eight +x
8 plus x
eight plus x
Similar expressions
8-x
Limit of the function
/
8+x
Limit of the function 8+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]
lim (8 + x) x->3+
$$\lim_{x \to 3^+}\left(x + 8\right)$$
Limit(8 + x, x, 3)
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]
11
$$11$$
Expand and simplify
One‐sided limits
[src]
lim (8 + x) x->3+
$$\lim_{x \to 3^+}\left(x + 8\right)$$
11
$$11$$
= 11.0
lim (8 + x) x->3-
$$\lim_{x \to 3^-}\left(x + 8\right)$$
11
$$11$$
= 11.0
= 11.0
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 3^-}\left(x + 8\right) = 11$$
More at x→3 from the left
$$\lim_{x \to 3^+}\left(x + 8\right) = 11$$
$$\lim_{x \to \infty}\left(x + 8\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(x + 8\right) = 8$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x + 8\right) = 8$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x + 8\right) = 9$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x + 8\right) = 9$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x + 8\right) = -\infty$$
More at x→-oo
Numerical answer
[src]
11.0
11.0
The graph