Find a limit when x approaches 0 of :[MATH](1+sinx-cosx)/(1+sin6x-cos6x)[/MATH]The type of this limit is 0/0 so it'd be great to have product in both numerator and denominator but I'm quite lost here. I didnt find any identites I could use neither did writing 1 as sin^2x+cos^2x and doing manipulations with that help much. Any tips to tackle this?
Thanks for help. A lot.
Edit: It's not allowed to use L'Hopitals rule.
Thanks for help. A lot.
Edit: It's not allowed to use L'Hopitals rule.