d)does not exist
Homework Equations: -[/B]
The Attempt at a Solution:
Dividing the numerator and denominator by xα,
clearly x−αis tending to zero as x tends to infinity
and thus we have 1/x1-α tending to zero
[as x tends to infimity, we can say the denomimator tends to x1-α ]
thus we have (a number tending to zero)*(a sinusoidal function which is largely changing values as x tends to infinity)
so i feel limit does not exist because of that oscillating part.
My friends feel answer is zero as the sin part has a finite value, so we have
(tending to zero)*(finite number) which gives tending to zero.
And THE ANSWER GIVEN IN TEXT IS INFINITY.