SOLUTION: If a function is defined to be f(x)= x^4cos(2/x) for x not equal to 0 , then what should f(0) be to make the function continuous at x equal 0

Algebra ->  Test -> SOLUTION: If a function is defined to be f(x)= x^4cos(2/x) for x not equal to 0 , then what should f(0) be to make the function continuous at x equal 0      Log On


   



Question 1050038: If a function is defined to be f(x)= x^4cos(2/x) for x not equal to 0 , then what should f(0) be to make the function continuous at x equal 0
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
-1+%3C=+cos%282%2Fx%29+%3C=+1
===> +-x%5E4+%3C=+x%5E4%2Acos%282%2Fx%29+%3C=+x%5E4
===> lim%28x-%3E0%2C%28x%5E4%2Acos%282%2Fx%29%29%29+=+0, by the squeeze theorem.

Therefore, for f(x) to be continuous at x = 0, it must be that f(0) = 0.