What is the limit as z approaches 8 of (2z^2-17z+8)/(8-z) ?

The limit as z approaches 8 of (2z^2-17z+8)/(8-z) is -15

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limit as z approaches 8 of (2z^2-17z+8)/(8-z)

z \to 8 lim (\frac{2 z ^{2} - 17 z + 8}{8 - z})

- 15

Solution steps

z \to 8 lim (\frac{2 z ^{2} - 17 z + 8}{8 - z})

Simplify

\frac{2 z ^{2} - 17 z + 8}{8 - z} : - 2 z + 1

= z \to 8 lim (- 2 z + 1)

Plug in the value

z = 8

= - 2 \cdot 8 + 1

Simplify

= - 15

x \to 5 lim (\frac{x + 3}{x - 5})

x \to 0 lim (1 - cos (x^{2}))

x \to 0 lim (\frac{x}{( 1 - x ) ^{2}})

x \to - 4 lim (7)

x \to - 3 lim (\frac{x ^{3} - 9}{x + 3})

What is the limit as z approaches 8 of (2z^2-17z+8)/(8-z) ?
The limit as z approaches 8 of (2z^2-17z+8)/(8-z) is -15