What is the limit as t approaches 0 of (t^2+3t)/t ?

The limit as t approaches 0 of (t^2+3t)/t is 3

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limit as t approaches 0 of (t^2+3t)/t

t \to 0 lim (\frac{t ^{2} + 3 t}{t})

3

Solution steps

t \to 0 lim (\frac{t ^{2} + 3 t}{t})

Simplify

\frac{t ^{2} + 3 t}{t} : t + 3

= t \to 0 lim (t + 3)

Plug in the value

t = 0

= 0 + 3

Simplify

= 3

\frac{d}{d x} ((8 x + e^{- x^{2}})^{2})

\frac{d}{d x} (x + \frac{100}{x})

(2 y^{2} + 4 x^{2}) d x - x y d y = 0

\frac{d x}{d y} + x y^{2} = 0

y = 5 + 4 - x, (0, 8)

What is the limit as t approaches 0 of (t^2+3t)/t ?
The limit as t approaches 0 of (t^2+3t)/t is 3