What is the limit as x approaches 4 of ((3x^2-17x+20))/(4x^2-25x+36) ?

The limit as x approaches 4 of ((3x^2-17x+20))/(4x^2-25x+36) is 1

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limit as x approaches 4 of ((3x^2-17x+20))/(4x^2-25x+36)

x \to 4 lim (\frac{( 3 x ^{2} - 17 x + 20 )}{4 x ^{2} - 25 x + 36})

1

Solution steps

x \to 4 lim (\frac{3 x ^{2} - 17 x + 20}{4 x ^{2} - 25 x + 36})

Simplify

\frac{3 x ^{2} - 17 x + 20}{4 x ^{2} - 25 x + 36} : \frac{3 x - 5}{4 x - 9}

= x \to 4 lim (\frac{3 x - 5}{4 x - 9})

Plug in the value

x = 4

= \frac{3 \cdot 4 - 5}{4 \cdot 4 - 9}

Simplify

\frac{3 \cdot 4 - 5}{4 \cdot 4 - 9} : 1

= 1

\int \frac{ln ( cos ( x ) )}{cos ^{2} ( x )} d x

\frac{1}{sin ( x )}

f (x) = e^{- 2 x}

e^{x + 9}

\frac{1}{x ^{2}} \frac{d y}{d x} = 25 + 14 y

What is the limit as x approaches 4 of ((3x^2-17x+20))/(4x^2-25x+36) ?
The limit as x approaches 4 of ((3x^2-17x+20))/(4x^2-25x+36) is 1