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olganol [36]
3 years ago
13

If a is an arbitrary nonzero constant, what happens to a/b as b approaches 0

Mathematics
1 answer:
barxatty [35]3 years ago
5 0

Answer:

a/b tends to an infinite value

Step-by-step explanation:

If If a is an arbitrary nonzero constant, and we are to look for a/b as b approaches zero, we can represent this statement using limits. The statement is expressed as:

\lim_{b \to 0} \dfrac{a}{b}

Substituting b = 0 into the function

=  \dfrac{a}{0} \\\\= \infty \\\\\lim_{b \to 0} \dfrac{a}{b} = \infty\\ \\\\

<em></em>

<em>Since the limits of a tends to infinity as b tends to zero hence </em><em>we can conclude that If a is an arbitrary nonzero constant then a/b tends to infinity or is undefined as b approaches 0</em>

<em></em>

<em></em>

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