Could someone please check my work

Find the following limit using The limit laws. lime * + 10 = lim 10 ns 615+ 9 = lim ( + + 15 + lim / 6+ 25 by Theorem 4.2.1 ( d ) = limn + lim - by Theorem 4.2.1 ( a ) 1 6 + lim ns and Theorem 4.2.1 ( 6 ) = 0+ 10. lim 75 by Theorem 4.2.1 ( 6 ) 6 + 9. lim 75 Since lim -2 = 0 by exercise 4.1.6 (6) and lim - 20 by example 4.1.3, Then by Theoren 4.2.1 ( c ), line( ) = lime ( 2 . (2 . ) = lim( 4 . ). lime ( ) = 0.0 = 0 and since lim 14 = 0, Then by Theorem 4.2. 1 ( c ) again, lime ( 5 ) = lim (4. 4 ) = lim (no). lim ( ) = 0.0 = 0 Since lim ( it's ) = 0 = 10 (0 ) 6+ 9(0 ) = 0