Find $$\lim _ { x \rightarrow 6 } \frac { 4 x } { \sqrt { x + 4 } }$$

question 61

Multiple Choice

Find
$$\lim _ { x \rightarrow 6 } \frac { 4 x } { \sqrt { x + 4 } }$$
by direct substitution.

• A) \(\frac { 6 } { \sqrt { 10 } }\)
• B) \(4 \sqrt { 6 }\)
• C) \(24 \sqrt { 10 }\)
• D) 1
• E) \(\frac { 24 } { \sqrt { 10 } }\)

---

Definitions:

Equivalent

Equal in value, amount, function, meaning, or status.

Compounded Semi-annually

Calculating and adding interest to the principal twice a year, affecting the overall interest accrued over time.

Compounded Quarterly

The process of calculating interest on both the initial principal and the accumulated interest from previous periods, done four times a year.

Maturity

The date on which the principal amount of a financial instrument is due to be paid back in full.