46. Consider the functions Find the following limits: x + sin x, for x>0 f(x) =...

 

Transcribed Image Text:

46. Consider the functions Find the following limits: x + sin x, for x>0 f(x) = 0, for x = 0 -x + cos x, for x <0 g(x) = x, for any x = R. f(x) (a) lim x+0+ g(x)' (b) lim f(x) x400 g(x)' f(x) (c) lim xxx g(x)' f(x) (d) lim (x)6 x-x 46. Consider the functions Find the following limits: x + sin x, for x>0 f(x) = 0, for x = 0 -x + cos x, for x <0 g(x) = x, for any x = R. f(x) (a) lim x+0+ g(x)' (b) lim f(x) x400 g(x)' f(x) (c) lim xxx g(x)' f(x) (d) lim (x)6 x-x