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Limit of the function
:
Limit of (1-cos(a*x))/(1-cos(b*x))
Limit of cot(x)*log(x+e^x)
Limit of (x^2-x)/(-1+x^2)
Limit of 6/x
Sum of series
:
-6
Identical expressions
- six
minus 6
minus six
Similar expressions
6
Limit of the function
/
-6
Limit of the function -6
at
→
Calculate the limit!
v
For end points:
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From the left (x0-)
From the right (x0+)
The graph:
from
to
Piecewise:
{
enter the piecewise function here
The solution
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[src]
lim (-6) x->-oo
$$\lim_{x \to -\infty} -6$$
Limit(-6, x, -oo)
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]
-6
$$-6$$
Expand and simplify
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to -\infty} -6 = -6$$
$$\lim_{x \to \infty} -6 = -6$$
More at x→oo
$$\lim_{x \to 0^-} -6 = -6$$
More at x→0 from the left
$$\lim_{x \to 0^+} -6 = -6$$
More at x→0 from the right
$$\lim_{x \to 1^-} -6 = -6$$
More at x→1 from the left
$$\lim_{x \to 1^+} -6 = -6$$
More at x→1 from the right
The graph