Question 1:\ (a) Evaluate the limits:\ i) (2 points)\

\\\\lim_(x->0^(+))(1)/(x)-(1)/(|x|)

\ ii) (2 points)\

\\\\lim_(x->0^(-))(1)/(x)-(1)/(|x|)

\ iii) (5 points)\

\\\\lim_(x->0)(sinx)/(x+tanx)

\ (b) ( 6 points) Use the Squeeze Theorem to show that\

\\\\lim_(x->0)xcos((1)/(x^(2)))=0

limx0+x1x1 ii) (2 points) limx0x1x1 iii) (5 points) limx0x+tanxsinx (b) ( 6 points) Use the Squeeze Theorem to show that limx0xcos(x21)=0