could u please calculate this limits `lim_(x->pi)⁡(1-cos8x)/(1-cos2x)` thanks

Expert Answers

An illustration of the letter 'A' in a speech bubbles

If you put `pi` instead of `x` you get indefinite expression `0/0` . So you need to use L'Hospitals rule.` `` `


` `Again if we put `pi` instead of `x` we get `0/0` so we again apply L'Hospitals rule.


`16cdot (cos8pi)/(cos2pi)=16`

Hence your limit is `lim_(x->pi)(1-cos8x)/(1-cos2x)=16`

Approved by eNotes Editorial Team

We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

  • 30,000+ book summaries
  • 20% study tools discount
  • Ad-free content
  • PDF downloads
  • 300,000+ answers
  • 5-star customer support
Start your 48-Hour Free Trial