Question

lim as x approches infinity of (9-sinX)/(2X)

Answer 1

as x gets bigger and bigger, the denominator 2x will approach infinity, but the numerator will only get as big as 10 (since 9-(-1) = 10). This is because sin(x) is bound on [-1,1]


So the expression will approach zero as x approaches infinity

Answer 2

i think there is a way to factor out that 2x though and use the property as x approches infinity, sinx/x = 0

Answer 3

even then, you'll still get a limiting value of 0

Answer 4

you could use the squeeze theorem to show it is zero

Answer 5

okay thanks guys