- #1
mr.tea
- 102
- 12
Homework Statement
Hi,
I have been trying to find the limit of the following expression in order to determine the Big-o(in particular, the order of decaying to zero)
[tex]\lim_{x\rightarrow 0} \frac {\cos (x) -1 +\frac {x}{2} }{x^4}[/tex]
Is there another "reasonable" way to solve it?
Thank you,
Thomas
Homework Equations
[tex]\lim_{x\rightarrow 0} \frac {\cos (x) -1 +\frac {x}{2} }{x^4}[/tex]
The Attempt at a Solution
I have tried to factorize x^2 in the numerator and denominator, and yield nothing(well, yield that the limit goes to infinity,). tried to replace cosx with sqrt(1-sin^2 x) and multiply with the conjugate but nothing.