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Use the Table of Values of F to Estimate the Limit

question 240

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Use the table of values of f to estimate the limit.
-Let f(θ) =cos(5θ) θf ( \theta ) = \frac { \cos ( 5 \theta ) } { \theta } , find limθθf(θ) \lim _ { \theta - \theta } f ( \theta ) .
x0.10.010.0010.0010.010.1f(θ) 8.77582568.7758256\begin{array}{l|c|c|c|c|c|c}x & -0.1 & -0.01 & -0.001 & 0.001 & 0.01 & 0.1 \\\hline \mathrm{f}(\theta) & -8.7758256 & & & & & 8.7758256\end{array}


Definitions:

Water Soluble

Capable of being dissolved in water.

Short-day Plants

Plants that flower only when the daylight duration is less than a critical length, indicating that they are photoperiod sensitive.

Light Exposure

The duration and intensity of light a living organism or chemical substance is subjected to, affecting processes like photosynthesis and circadian rhythms.

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