Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of (5-4*x+3*x^2)/(1-x+2*x^2)
-
Limit of ((1+2*x)/(-1+x))^(4*x)
-
Limit of (4+x^2-5*x)/(-16+x^2)
-
Limit of sinh(x)/x
- Integral of d{x}:
-
-3
- Sum of series:
-
-3
- Derivative of:
-
-3
-
Identical expressions
- - three
- minus 3
- minus three
-
Similar expressions
- ((3+x)^2+(3-x)^2)/((3-x)^2-(3+x)^2)
- 3
Limit of the function -3
The solution
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 (-3) x->0+
$$\lim_{x \to 0^+} -3$$
-3
$$-3$$
= -3
lim (-3) x->0-
$$\lim_{x \to 0^-} -3$$
-3
$$-3$$
= -3
= -3
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-} -3 = -3$$
More at x→0 from the left
$$\lim_{x \to 0^+} -3 = -3$$
$$\lim_{x \to \infty} -3 = -3$$
More at x→oo
$$\lim_{x \to 1^-} -3 = -3$$
More at x→1 from the left
$$\lim_{x \to 1^+} -3 = -3$$
More at x→1 from the right
$$\lim_{x \to -\infty} -3 = -3$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} -3 = -3$$
$$\lim_{x \to \infty} -3 = -3$$
More at x→oo
$$\lim_{x \to 1^-} -3 = -3$$
More at x→1 from the left
$$\lim_{x \to 1^+} -3 = -3$$
More at x→1 from the right
$$\lim_{x \to -\infty} -3 = -3$$
More at x→-oo
The graph