What is the limit as h(y,w) approaches 0 of (y-h(y,w))^{w(y)} ?

The limit as h(y,w) approaches 0 of (y-h(y,w))^{w(y)} is y^{yw}

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limit as h(y,w) approaches 0 of (y-h(y,w))^{w(y)}

h (y, w) \to 0 lim ((y - h (y, w))^{w (y)})

y^{y w}

Solution steps

h (y, w) \to 0 lim ((y - h (y, w))^{w y})

Plug in the value

h (y, w) = 0

, assuming the function is continuous at this point

= (y - 0)^{w y}

Simplify

= y^{y w}

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- \frac{0.625}{s + 4}

What is the limit as h(y,w) approaches 0 of (y-h(y,w))^{w(y)} ?
The limit as h(y,w) approaches 0 of (y-h(y,w))^{w(y)} is y^{yw}