What is the limit as x approaches 0 of (y^{1-x})/(1-x) ?

The limit as x approaches 0 of (y^{1-x})/(1-x) is y

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limit as x approaches 0 of (y^{1-x})/(1-x)

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

y

Solution steps

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

Plug in the value

x = 0

= \frac{y ^{1 - 0}}{1 - 0}

Simplify

= y

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3 x \frac{d y}{d x} + 5 y = 10

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What is the limit as x approaches 0 of (y^{1-x})/(1-x) ?
The limit as x approaches 0 of (y^{1-x})/(1-x) is y