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Calculus/mathmetical problem

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Expert: - 11/18/2009


Question
"sir
I have a mathmetical problem in limit and continuty in calculas.
so i'd be greatful to you for ur solution.

The qstn is

Lim x tends to 0 {(sinx°)/x} =?

Answer
When x is in radiands, the answer is 1.
This is because the Taylor's expansion of sin(x) = x - x^3/3! + x^5/5! - x^7/7! ....
Divide by x, and all the terms have an x left in them except for the first term, which is 1.

However, this is in radians.  For degrees, we must convert the bottom to degrees as well.
This means multiplying the bottom by π/180, which is that same as multiplying the top be
180/π.  This must be done to both sides, so 1•180/π = 180/π.  

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