- #1
Shozaf Zaidi
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Homework Statement
A function f is defined as follows:
ƒ(x) = sin(x) if x≤c
ƒ(x) = ax+b if x>c
Where a, b, c are constants. If b and c are given, find all values of a (if any exist) for which ƒ is continuous at the point x=c.
Homework Equations
The Attempt at a Solution
I was unsure of how to start this problem at all. The solution provided in the back of the book is as follows:
a = (sin (c-b))/c if c≠0; if c=0 there is no solution unless b=0, in which case any a will do.