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Identical expressions
| two *x - three |
module of 2 multiply by x minus 3|
module of two multiply by x minus three |
|2x - 3|
Similar expressions
|2*x + 3|
Limit of the function
/
|2*x - 3|
Limit of the function |2*x - 3|
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
You have entered:
[📋]
lim
x
→
−
∞
∣
2
x
−
3
∣
\lim_{x \to -\infty} \left|{2 x - 3}\right|
x
→
−
∞
lim
∣
2
x
−
3
∣
Lopital's rule:
It makes no sense to apply the Lopital rule to this function, because there is no uncertainty of the form
0
0
o
r
\frac{0}{0} or
0
0
or
\frac{∞}{∞}$
Rapid solution:
[📋]
∞
\infty
∞
Expand and simplify
Other limits x→0, -∞, +∞, 1:
lim
x
→
−
∞
∣
2
x
−
3
∣
=
∞
\lim_{x \to -\infty} \left|{2 x - 3}\right| = \infty
x
→
−
∞
lim
∣
2
x
−
3
∣
=
∞
lim
x
→
∞
∣
2
x
−
3
∣
=
∞
\lim_{x \to \infty} \left|{2 x - 3}\right| = \infty
x
→
∞
lim
∣
2
x
−
3
∣
=
∞
More at x→oo
lim
x
→
0
−
∣
2
x
−
3
∣
=
3
\lim_{x \to 0^-} \left|{2 x - 3}\right| = 3
x
→
0
−
lim
∣
2
x
−
3
∣
=
3
More at x→0 from the left
lim
x
→
0
+
∣
2
x
−
3
∣
=
3
\lim_{x \to 0^+} \left|{2 x - 3}\right| = 3
x
→
0
+
lim
∣
2
x
−
3
∣
=
3
More at x→0 from the right
lim
x
→
1
−
∣
2
x
−
3
∣
=
1
\lim_{x \to 1^-} \left|{2 x - 3}\right| = 1
x
→
1
−
lim
∣
2
x
−
3
∣
=
1
More at x→1 from the left
lim
x
→
1
+
∣
2
x
−
3
∣
=
1
\lim_{x \to 1^+} \left|{2 x - 3}\right| = 1
x
→
1
+
lim
∣
2
x
−
3
∣
=
1
More at x→1 from the right
Numerical answer:
[📋]
305.0
The graph:
Plot the graph