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Limit of the function
:
Limit of ((-2+x)/x)^(2*x)
Limit of -(1-cos(2*x))*sin(x)/x+tan(x)
Limit of (-1+tan(x)^(1/3))/(-1+log(x)/log(pi/4))
Limit of (-5+sqrt(9+x^2))/(-3+sqrt(5+x))
Integral of d{x}
:
6-3*x
Identical expressions
six - three *x
6 minus 3 multiply by x
six minus three multiply by x
6-3x
Similar expressions
6+3*x
Limit of the function
/
6-3*x
Limit of the function 6-3*x
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 (6 - 3*x) x->-4+
$$\lim_{x \to -4^+}\left(6 - 3 x\right)$$
Limit(6 - 3*x, 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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to -4^-}\left(6 - 3 x\right) = 18$$
More at x→-4 from the left
$$\lim_{x \to -4^+}\left(6 - 3 x\right) = 18$$
$$\lim_{x \to \infty}\left(6 - 3 x\right) = -\infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(6 - 3 x\right) = 6$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(6 - 3 x\right) = 6$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(6 - 3 x\right) = 3$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(6 - 3 x\right) = 3$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(6 - 3 x\right) = \infty$$
More at x→-oo
One‐sided limits
[src]
lim (6 - 3*x) x->-4+
$$\lim_{x \to -4^+}\left(6 - 3 x\right)$$
18
$$18$$
= 18.0
lim (6 - 3*x) x->-4-
$$\lim_{x \to -4^-}\left(6 - 3 x\right)$$
18
$$18$$
= 18.0
= 18.0
Rapid solution
[src]
18
$$18$$
Expand and simplify
Numerical answer
[src]
18.0
18.0
The graph