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Limit of the function
:
Limit of (-36+x^2)/(-6+x)
Limit of (-2*sin(a+x)+sin(a)+sin(a+2*x))/x^2
Limit of (-1+e^(3*x)-3*x)/sin(2*x)^2
Limit of ((-1+x)/(4+x))^(2+3*x)
Sum of series
:
20
Integral of d{x}
:
20
Identical expressions
twenty
20
Limit of the function
/
20
Limit of the function 20
at
→
Calculate the limit!
For end points:
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From the left (x0-)
From the right (x0+)
The graph:
from
to
Enter:
{
piecewise-defined function here
The solution
You have entered
[src]
lim 20 x->oo
$$\lim_{x \to \infty} 20$$
Limit(20, x, oo, dir='-')
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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty} 20 = 20$$
$$\lim_{x \to 0^-} 20 = 20$$
More at x→0 from the left
$$\lim_{x \to 0^+} 20 = 20$$
More at x→0 from the right
$$\lim_{x \to 1^-} 20 = 20$$
More at x→1 from the left
$$\lim_{x \to 1^+} 20 = 20$$
More at x→1 from the right
$$\lim_{x \to -\infty} 20 = 20$$
More at x→-oo
Rapid solution
[src]
20
$$20$$
Expand and simplify
The graph
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