limit as x approaches 2 of (5x^3)/(x+3) — step-by-step solution | Explain MAths

limit as x approaches 2 of (5x^3)/(x+3)

Let's evaluate the limit of

\frac{5 x^{3}}{x + 3}

when

x \to 2

The limit of

x^{3}

is

2^{3}

when

x \to 2

⇥Let's calculate:

2^{3}

⇥

8

The limit of

5 x^{3}

is

5 \cdot 8

when

x \to 2

⇥Let's evaluate:

5 \cdot 8

⇥

40

The limit of

x + 3

is

2 + 3

when

x \to 2

⇥Let's calculate:

2 + 3

⇥

5

So the limit of

\frac{5 x^{3}}{x + 3}

is

\frac{40}{5}

when

x \to 2

⇥Let's calculate:

\frac{40}{5}

▶Limit:

8