What is the limit as x approaches 0 of (7x-1)/(5x) ?

The limit as x approaches 0 of (7x-1)/(5x) is diverges

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limit as x approaches 0 of (7x-1)/(5x)

x \to 0 lim (\frac{7 x - 1}{5 x})

diverges

Solution steps

x \to 0 lim (\frac{7 x - 1}{5 x})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 0 + lim (\frac{7 x - 1}{5 x}) = - \infty

x \to 0 - lim (\frac{7 x - 1}{5 x}) = \infty

= diverges

x \to 1 lim (2 x - 4)

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

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

x \to 4 - lim (x - 2)

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

What is the limit as x approaches 0 of (7x-1)/(5x) ?
The limit as x approaches 0 of (7x-1)/(5x) is diverges