HW 206 Answers.pdf - HW 206 Answers 3 a continuous i f(0 0...

  • No School
  • AA 1
  • 2

This preview shows page 1 - 2 out of 2 pages.

HW 206 Answers 3 a. continuous? i) (0) 0 f ii) 2 0 0 lim ( ) lim 0 x x f x x 0 0 lim ( ) lim 0 x x f x x 0 lim ( ) 0 x f x iii) Since 0 (0) lim ( ), x f f x ( ) f x is continuous at x=0. differentiable? 0 0 lim ( ) lim 2 0 x x f x x 0 0 lim '( ) lim1 1 x x f x Since 0 0 lim ( ) lim ( ), x x f x f x ( ) f x is not differentiable at x = 0. b. not continuous and not differentiable at x = 1.
Image of page 1