can i get help with those question please make it clear so i could understand because I need them so study for my exam and shoe all steps. thank you in advance

7. Find the limit of the following (a) Find lim (22 + V422 + 3z 2) T00 248342 (b) lim m = =0 x% 91% + 229/2 4 () lim z?sin (1/2?) TF 00 8. Use limits to determine the equations for all vertical and horizontal asymptotes of 24+ 3 (a) f(f):I_l_l y2 (b) f(f)=m 9. Let f(z) = = and g(z)=z%-1z. % (a) Use limit definition of the derivative to find f'(x) and '(z) (b) Use part (a) to find the equation of the tangent lines to the curve y = f(z) at z = 4 and y=g(z)atzr=1