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kumpel [21]
1 year ago
6

Given limit of f (x) = negative 4 as x approaches c and limit of g (x) = one-fifth as x approaches c. what is limit of left-brac

ket startfraction g (x) over f (x) endfraction right-bracket as x approaches c? negative startfraction 20 over 1 endfraction negative five-fourths negative four-fifths negative startfraction 1 over 20 endfraction
Mathematics
1 answer:
sergey [27]1 year ago
8 0

Since the limit of f(x) is non-zero, the limit distributes over the quotient and

\displaystyle \lim_{x\to c} \frac{g(x)}{f(x)} = \frac{\displaystyle \lim_{x\to c}g(x)}{\displaystyle \lim_{x\to c}f(x)} = \frac{\dfrac15}{-4} = \boxed{-\frac1{20}}

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