\fEvaluate the limits of the following sequences. You may use the limit laws and theorems covered in this course but please justify your steps. (a) (5 points) lim 5n2 - 2 n-too 2n7 + 13n3 = lim 5n2- 2 2n7 +13n = lim 5 1-700 0 2 + 13 2to O 7-+00 (b) (5 points) lim Vn2 +4n -n . = lim Nhat4n -n lim _ lim 4n - lim 4 nyo ntznetn = lim 4 NI- 2 2 (c) (5 points) lim (n!) 1 n-+oo n = lim ( n . (n - 1) ( n- 2 ) ... 1 ) 1 n = )