if 0<m<1 which of the following expressions has the least value?
m
m^2
m^3
2-m
(m+1)^2
please explain this to me
gmat prep q
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- jayhawk2001
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m^3 should have the least value
For 0 < m < 1,
1 > m > m^2 > m^3
The other 2 are greater than 1. So, m^3 is the least of the lot
For 0 < m < 1,
1 > m > m^2 > m^3
The other 2 are greater than 1. So, m^3 is the least of the lot
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The answer is m^3
Try and substitute values for m and it'll be easy. Let's say m=.5
Therefore .5^2= .25
.5^3=.125
2-.5=1.5
.5+1= 1.5
Hence m^3 is the smallest
Try and substitute values for m and it'll be easy. Let's say m=.5
Therefore .5^2= .25
.5^3=.125
2-.5=1.5
.5+1= 1.5
Hence m^3 is the smallest