L'Hopital's Rule Does Not Help with the Given Limit $\lim _ { \theta \rightarrow \pi / 2 ^ { - } } \frac { \csc \theta } { \cot \theta }$

question 33

Multiple Choice

L'Hopital's rule does not help with the given limit. Find the limit some other way.
- $\lim _ { \theta \rightarrow \pi / 2 ^ { - } } \frac { \csc \theta } { \cot \theta }$

• A) 1
• B) \(\infty\)
• C) 0
• D) \(- 1\)

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Definitions:

Gauge

An instrument or tool used to measure, test, or visually compare physical characteristics such as dimensions, thickness, or depth.

Spur Gears

Cylindrical gears with teeth projecting radially and having edges parallel to the axis, used to transmit motion between parallel shafts in machinery.

Pinion

A small gear that engages with a larger gear or rack, often used to convert rotational motion to linear motion or vice versa.

Mechanical Advantage

The factor by which a mechanism multiplies the force put into it, enabling the lifting or moving of heavier loads with less effort.