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Limit of the function
:
Limit of (-1+e^x)/sin(x)
Limit of ((-1+x)/(4+x))^(2+3*x)
Limit of (1+n)/(2+n)
Limit of (3+2*x)/(1+5*x)
Identical expressions
- thirty-two
minus 32
minus thirty minus two
Similar expressions
(7^(3*x)-3^(2*x))/(x^3+tan(x))
32
Limit of the function
/
-32
Limit of the function -32
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 (-32) x->-4+
$$\lim_{x \to -4^+} -32$$
Limit(-32, x, -4)
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 (-32) x->-4+
$$\lim_{x \to -4^+} -32$$
-32
$$-32$$
= -32
lim (-32) x->-4-
$$\lim_{x \to -4^-} -32$$
-32
$$-32$$
= -32
= -32
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to -4^-} -32 = -32$$
More at x→-4 from the left
$$\lim_{x \to -4^+} -32 = -32$$
$$\lim_{x \to \infty} -32 = -32$$
More at x→oo
$$\lim_{x \to 0^-} -32 = -32$$
More at x→0 from the left
$$\lim_{x \to 0^+} -32 = -32$$
More at x→0 from the right
$$\lim_{x \to 1^-} -32 = -32$$
More at x→1 from the left
$$\lim_{x \to 1^+} -32 = -32$$
More at x→1 from the right
$$\lim_{x \to -\infty} -32 = -32$$
More at x→-oo
Rapid solution
[src]
-32
$$-32$$
Expand and simplify
Numerical answer
[src]
-32
-32
The graph