q20,21 with full solution thanks

1:02 learn-ap-southeast-1-prod-fleet02-xythos.s3.ap-southe - Privat 18. (20 points) Evaluate the following limits. (a) lim (Va2 +x - Va2 - x). x- too (b lim 2 3x (c) lim (x - 2) sin x-+2+ Jx - (d) lim ex - 19. (16 points) Find dy if d.x (a) y = tan(2x) 3x + 1 ' (b) y = arcsin(x2 + 1). (c) y = ev2+cosa (d) y = (sin a) . 20. (30 points) Evaluate the following integrals. (a) x(x2 + 1 ) dx . ( b ) 1 + sin x + cos x dx. (c) sin(6x) cos(4x ) dx. (d) (202 + x ) edx. 1 dx . 72 + 4 21. (10 points) Let 3x + 7 f(x ) = if x