Find the Limit $\lim _ { t \rightarrow 0 ^ { + } } ( 8 \cos t , 24 \sin t , 5 t \ln t )$

question 127

Multiple Choice

Find the limit.
$\lim _ { t \rightarrow 0 ^ { + } } ( 8 \cos t , 24 \sin t , 5 t \ln t )$

• A) \(\mathbf { r } ( t ) = 8 \mathbf { i } + 24 \mathbf { j } + 5 \mathbf { k }\)
• B) \(\mathbf { r } ( t ) = 8 \mathbf { k }\)
• C) \(\mathbf { r } ( t ) = 8 \mathbf { i } - 5 \mathbf { k }\)
• D) \(\mathbf { r } ( t ) = 8 \mathbf { j }\)
• E) \(\mathbf { r } ( t ) = 8 \mathbf { i }\)

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Definitions:

Break-Even Point

The level of sales or production at which a business's revenues exactly cover its expenses.