A few days ago
If the lim as x approaches 0 of (sin ax) /(bx) = 2, how do i obatin an expression for a in terms of b?
If the lim as x approaches 0 of (sin ax) /(bx) = 2, how do i obatin an expression for a in terms of b?
Top 1 Answers
A few days ago
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lim x –> 0 ( sin(ax) / (bx) )
= lim x –> 0 ( [ sin(ax) / (ax) ] * (a/b) )
The limit of a product is the product of the limits.
As sin(ax) / (ax) tends to 1, this limit tends to a/b.
Therefore a/b = 2, a = 2b.
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