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Problem 10

Determine if the given limit leads to a determinate or indeterminate form. Evaluate the limit if it exists, or say why if not. $$ \lim _{x \rightarrow 0} \frac{2 x^{2}+4}{x} $$

Expert verified

The given limit, \(\lim _{x \rightarrow 0} \frac{2 x^{2}+4}{x}\), leads to an indeterminate form. Since there are no common terms in the numerator and denominator to factor out and simplify, the limit does not exist due to the division by zero.

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Chapter 10

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