The problem involves evaluating the limit \(\lim_{x \to{0}}{\frac{1-\cos(1-\cos x)}{3x^4}}\) without using L'Hospital's rule. The subject area pertains to limits and trigonometric functions.
The discussion is ongoing, with participants exploring different approaches to the limit. Some guidance has been offered regarding the use of Taylor series and L'Hospital's rule, but there is no consensus on a clear path forward. Multiple interpretations of the problem are being considered.
Some participants mention constraints related to their current knowledge of Taylor series, indicating that they may be limited to using L'Hospital's rule. There is a noted difficulty in managing repeated indeterminate forms during the evaluation process.
Hernaner28 said:Mmm I haven't learned Taylor series expansions yet. So anyway, could you tell me how to apply L'Hospital here? There are a lot of steps! I keep getting indeterminations. I cannot figure it out yet...
Thanks for the reply :)
Hernaner28 said:Sorry but I didn't understand the idea.. could you explain the first steps of the resolution? I keep getting IND 0/0 -- I know I've got to apply l'Hopitale every time I get the indtermination but there're just too many.. it never ends.