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Question
`lim_(x -> 0) (sin 4x + sin 2x)/(sin5x - sin3x)` = ______.
Options
`1/2`
`1/3`
2
3
MCQ
Fill in the Blanks
Solution
`lim_(x -> 0) (sin 4x + sin 2x)/(sin5x - sin3x)` = 3.
Explanation:
`lim_(x -> 0) (2sin 3x cosx)/(2sinx cos4x) = lim_(x -> 0) 3((sin3x)/(3x)) (x/(sin x)) cosx/(cos4x)`
= 3
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Concept of Limits
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