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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|

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For end points:

The graph:

from to

Piecewise:

    You have entered:
    [📋]
    limx2x3\lim_{x \to -\infty} \left|{2 x - 3}\right|
    Lopital's rule:
    It makes no sense to apply the Lopital rule to this function, because there is no uncertainty of the form 00or\frac{0}{0} or \frac{∞}{∞}$
    Rapid solution:
    [📋]
    Other limits x→0, -∞, +∞, 1:
    limx2x3=\lim_{x \to -\infty} \left|{2 x - 3}\right| = \infty
    limx2x3=\lim_{x \to \infty} \left|{2 x - 3}\right| = \infty
    More at x→oo
    limx02x3=3\lim_{x \to 0^-} \left|{2 x - 3}\right| = 3
    More at x→0 from the left
    limx0+2x3=3\lim_{x \to 0^+} \left|{2 x - 3}\right| = 3
    More at x→0 from the right
    limx12x3=1\lim_{x \to 1^-} \left|{2 x - 3}\right| = 1
    More at x→1 from the left
    limx1+2x3=1\lim_{x \to 1^+} \left|{2 x - 3}\right| = 1
    More at x→1 from the right
    Numerical answer:
    [📋]
    305.0
    The graph: