SOLUTION: <pre> {{{f(x)}}}{{{""=""}}}{{{system(matrix(2,3, (1-cos(ax))/(x*sin(x)),if,x<>0, 1/2,if,x=0))}}} Find the value of "a" such that the function is continuous at x=0</pre>

Question 992139:
Find the value of "a" such that the function is continuous at x=0

Answer by Edwin McCravy(20054) (Show Source): You can put this solution on YOUR website!

Find the value of "a" such that the function is
continuous at x=0

f(x) will be continuous at x=0 if and only if



We use L'Hopital's rule on the left side:



We use L'Hopital's rule again on the left side:













Edwin

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