Question 1179796
a.

{{{lim(x->3)}}}{{{(x^2-10 x + 21)/x^2 =9-30+21 =0}}}


b. {{{lim(x->3/2)}}}{{{(2x^2-5x-12)/(2x+3)=(2(3/2)^2-5(3/2)-12)/(2(3/2)+3)=(9/2-15/2-12)/6=-15/6 =-5/2}}}


c. {{{lim(x->2)}}}{{{ (x - 2)/(x^2 - 2) = (2 - 2)/(2^2 - 2)=0/2 =0}}}


d. {{{lim(x->11) }}}{{{(x^2 + 6 x - 187)/(x^2 + 3 x - 154) = 28/25}}}


e. {{{lim(x->3)}}}{{{ (x^2 - 8 x + 15)/(x - 3) =((x - 3) (x - 5))/(x - 3) = (x - 5)=3-5=-2}}}

f. {{{lim(x->5/2)}}}{{{( 2x^2+x-15)/(2x-5)=((2 x - 5) (x + 3))/(2x-5)=(x + 3)=(5/2 + 3)=11/2}}}


the expressions with nonnegative limit values: {{{a}}},{{{c}}},{{{d}}},{{{f}}}