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What is the limit of sine 'x' divided by 'x' as 'x' approaches 0?

User Wviana
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Final answer:

The limit of sine 'x' divided by 'x' as 'x' approaches 0 is equal to 1.

Step-by-step explanation:

The limit of sine 'x' divided by 'x' as 'x' approaches 0 is equal to 1.

This can be proven using the concept of limits. As 'x' approaches 0, the sine function approaches 0 as well, since sine 'x' oscillates between -1 and 1. Meanwhile, 'x' approaches 0 linearly. Therefore, the ratio of the two, sine 'x' divided by 'x', approaches 1 as 'x' approaches 0.

User Detheroc
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