Evaluate the following limits, use L'Hopital's Rule if necessary: x-e² +1 (a) lim 2-0 2x² 2 tan(x) (b) lim 1/2 sec² T 3x (c) lim 1+ I (d) lim (e³ + 1) 5/2 (e) lim (√x - - 2 200 /25x²5 (f) lim x (g) lim (1+x)¹/2 x+0+ [infinity]0+# 00+I 0+# x- 4) (Hint: first, multiply and divide by the conjugate)