What is the limit as x approaches 5 of 8x+|x-5| ?

The limit as x approaches 5 of 8x+|x-5| is 40

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limit as x approaches 5 of 8x+|x-5|

x \to 5 lim (8 x + ∣ x - 5 ∣)

40

Solution steps

x \to 5 lim (8 x + ∣ x - 5 ∣)

Plug in the value

x = 5

= 8 \cdot 5 + ∣ 5 - 5 ∣

Simplify

8 \cdot 5 + ∣ 5 - 5 ∣ : 40

= 40

2 sin (π x)

\int_{0}^{2} (x^{4} - 5 x^{3} + 2 x) d x

\int \frac{sin ( 2 x )}{43 + cos ^{2} ( x )} d x

y^{^{'}} + 4 y = cos (x)

ln (\frac{x}{2}), at 2

What is the limit as x approaches 5 of 8x+|x-5| ?
The limit as x approaches 5 of 8x+|x-5| is 40