Find the Limit (If It Exists) $\lim _ { y \rightarrow 0 } \frac { \sqrt { y + 7 } - \sqrt { 7 } } { y }$

question 36

Multiple Choice

Find the limit (if it exists) . $\lim _ { y \rightarrow 0 } \frac { \sqrt { y + 7 } - \sqrt { 7 } } { y }$

• A) \(\lim _ { y \rightarrow 0 } \frac { \sqrt { y + 7 } - \sqrt { 7 } } { y } = \frac { \sqrt { 7 } } { 7 }\)
• B) \(\lim _ { y \rightarrow 0 } \frac { \sqrt { y + 7 } - \sqrt { 7 } } { y } = \frac { \sqrt { 7 } } { 14 }\)
• C) \(\lim _ { y \rightarrow 0 } \frac { \sqrt { y + 7 } - \sqrt { 7 } } { y } = - \frac { \sqrt { 7 } } { 7 }\)
• D) \(\lim _ { y \rightarrow 0 } \frac { \sqrt { y + 7 } - \sqrt { 7 } } { y } = \frac { 14 \sqrt { 7 } } { 7 }\)
• E) \(\lim _ { y \rightarrow 0 } \frac { \sqrt { y + 7 } - \sqrt { 7 } } { y } = - \frac { \sqrt { 7 } } { 14 }\)

---

Definitions:

Allowance Method

The method of accounting for uncollectible accounts that provides an expense for uncollectible receivables in advance of their write-off.

Receivables

All money claims against other entities, including people, business firms, and other organizations.

Written Off

The process of recognizing that a portion of a company's assets or receivables has decreased in value and is unlikely to be recovered, thus removing it from the balance sheet.

Account Receivable

A claim against the customer created by selling merchandise or services on credit.