What is the limit as x approaches 0 of (2x-3x)/x ?

The limit as x approaches 0 of (2x-3x)/x is -1

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limit as x approaches 0 of (2x-3x)/x

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

- 1

Solution steps

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

Simplify

= x \to 0 lim (- 1)

x \to a lim c = c

= - 1

x \to 0 lim (x + sin (\frac{1}{x}))

x \to 1 lim (ln (\frac{1}{x}))

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

x \to 0 - lim (\frac{1 + x}{1 - x})

x \to 2 - lim (5)

What is the limit as x approaches 0 of (2x-3x)/x ?
The limit as x approaches 0 of (2x-3x)/x is -1