a!=0" and "a times a=a rArr a=?

a ne 0 and a xx a =a rArr a= ?

Given that lim_(theta rarr 0) (sin theta)/theta = 1 and lim_(theta rarr 0) cos theta = 1 Evaluate lim_(theta rarr 0) (tan theta)/theta

If lim_(x rarr0)phi(x)=a^(2), where a!=0, then what is lim_(x rarr0)phi((x)/(a)) equal to?

Show that +: R xx R rarr R and xx: R xx R rarr R are commutative binary operaions, but - : R xx R rarr R and -:: R_* xx R_* rarr R_* are not commutative.

Show that +: R xx R rarr R and xx : R xx R rarr R are commutative binary operations.

Let *: R xx R rarr R given by (a,b) rarr a + 4b^(2) is a binary operation compute (-5 ) *(2*0) .

Show that the vee: R xx R rarr R given by (a, b) rarr max {a, b} and the * : R xx R rarr R given by (a, b) rarr min {a , b} are binary operations.

Show that * : R xx R rarr R given by a * b rarr a + 2b is nto associative.