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

The limit as x approaches 1 of 1-(x-1)^2 is 1

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

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

1

Solution steps

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

Plug in the value

x = 1

= 1 - (1 - 1)^{2}

Simplify

= 1

\frac{\partial}{\partial y} (e^{3 x} tan (y))

\int e^{x} cos (2 x) d x

\frac{d y}{d x} = k y^{2} ln (x), y (1) = - 5

(x^{3} - y^{3}) d x + x y^{2} d y = 0

sin (8 x) + sin^{2} (8 x)

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