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

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

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

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

- \frac{3}{2}

Decimal Notation

- 1.5

Solution steps

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

Plug in the value

x = 1

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

Simplify

= - \frac{3}{2}

x \to 0 lim ((x + cos (2 x))^{c s c (3 x)})

x \to 0 lim (cos (x - 1))

x \to 0 lim (\frac{x ^{2} - 3 x}{3 x})

x \to \infty lim (3 x^{\frac{2}{3}})

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

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