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>

Algebra ->  College  -> Linear Algebra -> 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>      Log On

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