What is the limit as x approaches 1 of (ax^2-bx)^2 ?

The limit as x approaches 1 of (ax^2-bx)^2 is (a-b)^2

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limit as x approaches 1 of (ax^2-bx)^2

x \to 1 lim ((a x^{2} - b x)^{2})

(a - b)^{2}

Solution steps

x \to 1 lim ((a x^{2} - b x)^{2})

Plug in the value

x = 1

= (a \cdot 1^{2} - b \cdot 1)^{2}

Simplify

= (a - b)^{2}

\frac{d}{d x} (2 c e^{2 x})

\frac{d y}{d x} = \frac{( 2 x ( y - 2 ) )}{x ^{2} + 1}, y (0) = 4

t \to 0 lim (e^{- t})

y = \frac{1}{2} (e^{x} + e^{- x})

\int 2 x (x^{2} - 7)^{99} d x

What is the limit as x approaches 1 of (ax^2-bx)^2 ?
The limit as x approaches 1 of (ax^2-bx)^2 is (a-b)^2