1} (x-4)(2x+1)/(x-4)(x+3)=2x+1/x+3 , lim is 9/7 . {2} (x+1)(x+2)/(x-3) (2x+1) , as x comes close to 3 from the left the lim aproaches -inf and from right lim aproaches +inf . {3} 1-cosy/(1-cos^2 y)=1-cosy/ (1-cosy)(1+cosy)=1/1+cosy , lim is 1/2 . {4} multiply num & den by cosx , s^3 c/sc-s =c s^2/ c-1 =c(1-c^2)/c-1=c(1-c)(1+c)/-(1-c) =-c(1+c) , lim is -2 , {5} k * sinkx/kx , lim is k*1=k
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