Algebraically Evaluate the Limit (If It Exists)by the Appropriate Technique(s) $\lim _ { x \rightarrow 5 ^ { + } } \frac { 5 - x } { 25 - x ^ { 2 } }$

question 175

Multiple Choice

Algebraically evaluate the limit (if it exists) by the appropriate technique(s) . $\lim _ { x \rightarrow 5 ^ { + } } \frac { 5 - x } { 25 - x ^ { 2 } }$

• A) \(\lim _ { x \rightarrow 5 ^ { + } } \frac { 5 - x } { 25 - x ^ { 2 } } = - \frac { 1 } { 11 }\)
• B) \(\lim _ { x \rightarrow 5 ^ { + } } \frac { 5 - x } { 25 - x ^ { 2 } } = \frac { 1 } { 11 }\)
• C) \(\lim _ { x \rightarrow 5 ^ { + } } \frac { 5 - x } { 25 - x ^ { 2 } } = \frac { 1 } { 12 }\)
• D) \(\lim _ { x \rightarrow 5 ^ { + } } \frac { 5 - x } { 25 - x ^ { 2 } } = \frac { 1 } { 10 }\)
• E) \(\lim _ { x \rightarrow 5 ^ { + } } \frac { 5 - x } { 25 - x ^ { 2 } } = - \frac { 1 } { 10 }\)

---

Definitions:

Working Angles

The angles formed by the axis of the input and output shafts in a drivetrain, affecting the efficiency and vibration of the system.

Tandem Drive Truck

A truck with two drive axles at the rear, providing additional traction and load capacity.

Non-latching Solenoid

A type of solenoid that returns to its original position when power is removed, typically used for short-term activation tasks.

Default Off

A setting or condition where a system or device is off or inactive until activated by a specific command or action.