 #1
 31
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1) the given function is defined for x>0 except for x=2. Find the value to be assigned to f(2), if any, to guarantee that f is continuous at 2.
f( x ) = sin(pi x) / (x2)
cant figure out how to change the equation so i can plug 2 in, i think im loking right past it, tried multiplying by x2, didnt work
2) For what value of the constants a and b is the function f continuous for all x
f(x) = ( (ax4)/(x2) x not equal to 2

 b x = 2
(
i know b is equal to to, but cant figure out how to change the first equation to find a.
f( x ) = sin(pi x) / (x2)
cant figure out how to change the equation so i can plug 2 in, i think im loking right past it, tried multiplying by x2, didnt work
2) For what value of the constants a and b is the function f continuous for all x
f(x) = ( (ax4)/(x2) x not equal to 2

 b x = 2
(
i know b is equal to to, but cant figure out how to change the first equation to find a.