What is the limit as x approaches 0 of (b-c)/(x^a) ?

The limit as x approaches 0 of (b-c)/(x^a) is 0

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limit as x approaches 0 of (b-c)/(x^a)

x \to 0 lim (\frac{b - c}{x ^{a}})

0

Solution steps

x \to 0 lim (\frac{b - c}{x ^{a}})

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= (b - c) \cdot x \to 0 lim (\frac{1}{x ^{a}})

x \to 0 lim (\frac{1}{x ^{a}}) = 0

= (b - c) \cdot 0

Simplify

= 0

What is the limit as x approaches 0 of (b-c)/(x^a) ?
The limit as x approaches 0 of (b-c)/(x^a) is 0