Find $\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h }$

question 181

Multiple Choice

Find $\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h }$ . $f ( x ) = \sqrt { x - 8 }$

• A) \(\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } = \frac { 1 } { 2 \sqrt { x - 7 } }\)
• B) \(\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } = - \frac { 1 } { 2 \sqrt { x - 10 } }\)
• C) \(\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } = - \frac { 1 } { 2 \sqrt { x - 8 } }\)
• D) \(\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } = \frac { 1 } { 2 \sqrt { x - 10 } }\)
• E) \(\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } = \frac { 1 } { 2 \sqrt { x - 8 } }\)

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Definitions:

Main Routine

The primary sequence of instructions or program that runs in a PLC or computer to execute various tasks.

Consumed Tag

In industrial automation, a tag or variable from one device that is used or read by another device across a network.

Produced Tag

A label or identifier in a control system that represents data or a status generated by one device and made available to others.

Structure-Type Tag

In PLC programming, it refers to user-defined data types that allow the grouping of multiple related variables under a single name.