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

The limit as t approaches 0 of (sin(3t))/t+2 is 5

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

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

5

Solution steps

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

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

With the exception of indeterminate form

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

t \to 0 lim (\frac{sin ( 3 t )}{t}) = 3

t \to 0 lim (2) = 2

= 3 + 2

Simplify

= 5

\int 4 x e^{5 x} d x

(0, - 5), (- 2, 1)

f (x) = \frac{2 x}{x + 3}

\frac{d}{d x} (4 x^{2} e^{- 0.25 x})

(x^{2} + e^{x}) (x)

What is the limit as t approaches 0 of (sin(3t))/t+2 ?
The limit as t approaches 0 of (sin(3t))/t+2 is 5