Mister Exam

Limit of the function -32

at
v

For end points:

The graph:

from to

Piecewise:

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
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
$$-32$$
Numerical answer [src]
-32
-32
The graph
Limit of the function -32