0≦sin1/x≦1
0≦|x|^α sin1/x≦|x|^α
lim[x→0]|x|^α=0
はさみうちの原理より
lim[x→0]|x|^α sin1/x=0
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0≦sin1/x≦1
0≦|x|^α sin1/x≦|x|^α
lim[x→0]|x|^α=0
はさみうちの原理より
lim[x→0]|x|^α sin1/x=0
Users viewing this question
are also looking at these questions 😉