What is the limit as x approaches 1 of (2x-3)/(3x) ?

The limit as x approaches 1 of (2x-3)/(3x) is -1/3

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limit as x approaches 1 of (2x-3)/(3x)

x \to 1 lim (\frac{2 x - 3}{3 x})

- \frac{1}{3}

Decimal Notation

- 0.33333 \dots

Solution steps

x \to 1 lim (\frac{2 x - 3}{3 x})

Plug in the value

x = 1

= \frac{2 \cdot 1 - 3}{3 \cdot 1}

Simplify

= - \frac{1}{3}

x \to 3 - lim (∣ 4 x ∣ - 3 x)

x \to 3 lim ([x] + [4 - x])

x \to (0) lim (\frac{3 x y}{5 x ^{2} + 2 y ^{2}})

x \to 3 lim ((x^{2}) (x + 3))

x \to - \infty lim (3 x - 2)

What is the limit as x approaches 1 of (2x-3)/(3x) ?
The limit as x approaches 1 of (2x-3)/(3x) is -1/3