What is the limit as x approaches 3 of (3x)/((x+3)) ?

The limit as x approaches 3 of (3x)/((x+3)) is 3/2

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limit as x approaches 3 of (3x)/((x+3))

x \to 3 lim (\frac{3 x}{( x + 3 )})

\frac{3}{2}

Decimal Notation

1.5

Solution steps

x \to 3 lim (\frac{3 x}{x + 3})

Plug in the value

x = 3

= \frac{3 \cdot 3}{3 + 3}

Simplify

\frac{3 \cdot 3}{3 + 3} : \frac{3}{2}

= \frac{3}{2}

x \to 3 lim ((x!)^{\frac{1}{2}})

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

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x \to 3 lim (5 x \cdot cot^{2} (x))

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

What is the limit as x approaches 3 of (3x)/((x+3)) ?
The limit as x approaches 3 of (3x)/((x+3)) is 3/2