33 a1 x3x2 34 x3x 2 fx 1010e x23x 2 35 1010x2 a 1 fx 2 36

33. ,a=1 x-3x+2 34. x-3x +2 f(x) =-10-10e x2-3x +2 35. 10-10x2 ; a =1 f(x) = 2 36. f(x)= ---, 6r2 -5r-6 a = 37 f(x) = 4x44r+1, a =-1 37, f(x) = 4x44x + 1 , a=-1 2 x f(x) = 38, 38. f)2 f(x)#7-4; For the following exercises, use a calculator to estimate the limit by the behavior of the function as x approaches the given value. 39. lim Ztanx 40. lim 41. lim For the following exercises, use a graphing utility to find numerical or g hand limits of the function given as x approaches a. If the function has a why there is no limit.

Solution

38)

lim_x->4^- 2/(x-4)= -

lim_x->4⁺ 2/(x-4)=

lim_x->4^- 2/(x-4)lim_x->4⁺ 2/(x-4)

so lim_x->4 2/(x-4) does not exist