Question

So sánh M và N biết :

M = \(\dfrac{101^{120}+1}{101^{103}+1}\)

N = \(\dfrac{101^{103}+1}{101^{104}+1}\)

Answer 1

ta có:\(\dfrac{101^{120}+1}{101^{103}+1}>1;\dfrac{101^{103}+1}{101^{104}+1}< 1\) => N<1<M

vậy N<M

Answer 2

Ta có M=\(\frac{101^{120}+1}{101^{103}+1}>1\)

N=\(\frac{101^{103}+1}{101^{104}+1}< 1\)

=>\(\frac{101^{103}+1}{101^{104}+1}< 1< \frac{101^{120}+1}{101^{103}+1}\)

=>\(\frac{101^{103}+1}{101^{104}+1}< \frac{101^{120}+1}{101^{103}+1}\)

=> N < M

Vaayj N < M