TRUE OR FALSE 6 i)cos(3pi/4)=1/root2 ii)Every function is either an even or odd

Question

TRUE OR FALSE 6 i)cos(3pi/4)=1/root2 ii)Every function is either an even or odd function? iii)The function cos(x) is invertible on [-pi/2,pi/2]? iv)The function e^x is the inverse of the function ln(x)? v)A sequence {a n} can have more than one limit? vi) The sequence {1,-1,1,-1} hastwo limits? vii) f(x)=x^2-1/x-1 and g(x)=x+1 are the same functions? viii)If lim(x-->a+) f(x) and lim (x-->a-) f(x) exists,then so does lim(x-->a) f(x)? xi)lim(x-->infinity) ln(x)/x^p=0? x)lim(x-->0) sin(theta)/theta XI)If lim(n->infinity) {an}=L and lim(n->infinity) {bn}=M, then lim(n->infinity) (an/bn)=L/M

Explanation / Answer

1) False. it is (-1/sqrt(2)) 2) False. It can be neither also. 3) True. 4)True. 5)False. Only 1 limit. 6)False. It has no limits. 7) Fasle. They are different. 8) True. 9)False. Its is infinite. 10)1 11)True.

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