What is the limit as x approaches 3 of 2x+|x-3| ?

The limit as x approaches 3 of 2x+|x-3| is 6

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limit as x approaches 3 of 2x+|x-3|

x \to 3 lim (2 x + ∣ x - 3 ∣)

6

Solution steps

x \to 3 lim (2 x + ∣ x - 3 ∣)

Plug in the value

x = 3

= 2 \cdot 3 + ∣ 3 - 3 ∣

Simplify

2 \cdot 3 + ∣ 3 - 3 ∣ : 6

= 6

x \to 7 lim (\frac{x + 5}{x + 9})

x^{2} y^{^{''}} + x y^{^{'}} + 9 y = 10 x

y = x^{3} + 2

\int tan^{3} (6 x) d x

\int \frac{x}{x ^{2} - 6 x + 5} d x

What is the limit as x approaches 3 of 2x+|x-3| ?
The limit as x approaches 3 of 2x+|x-3| is 6