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

The limit as y approaches 1 of (y^2+3)/(y-1) is diverges

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

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

diverges

Solution steps

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

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

then the limit does not exist

y \to 1 + lim (\frac{y ^{2} + 3}{y - 1}) = \infty

y \to 1 - lim (\frac{y ^{2} + 3}{y - 1}) = - \infty

= diverges

\int (8 e^{2} x) - (3 e^{- x}) d x

\frac{d}{d x} ((2 - 2 x)^{2} (3 x + 1)^{2})

\frac{d}{d x} (\frac{a + b x}{c + d x})

3 t e^{- 2 t}

\frac{d}{d x} (3 (x - 1)^{2})

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