요새 해석학에 연속을 공부하는 중입니다. <div><br><div>f : E->R이고 E는 R의 부분집합일때,<br><div>임의의 <span style="font-family:'굴림', gulim, helvetica, sans-serif;line-height:18px;font-size:9pt;">ε>0에 대해 </span><span style="font-family:'굴림', gulim, helvetica, sans-serif;line-height:18px;font-size:9pt;">δ>0가 존재하고, x,a</span><span style="font-family:'굴림', gulim, helvetica, sans-serif;line-height:18px;font-size:9pt;">∈E여서 </span><span style="font-family:'굴림', gulim, helvetica, sans-serif;font-size:9pt;line-height:18px;"> ㅣ</span><span style="font-size:9pt;font-family:'굴림', gulim, helvetica, sans-serif;line-height:18px;">x-aㅣ<</span><span style="font-size:9pt;font-family:'굴림', gulim, helvetica, sans-serif;line-height:18px;">δ -> ㅣf(x)-f(a)ㅣ<</span><span style="font-family:'굴림', gulim, helvetica, sans-serif;line-height:18px;font-size:9pt;">ε 이면 f가 a에서 연속이라고 배웠습니다.</span></div></div></div> <div><span style="font-family:'굴림', gulim, helvetica, sans-serif;line-height:18px;font-size:9pt;"><br></span></div> <div><span style="font-family:'굴림', gulim, helvetica, sans-serif;line-height:18px;font-size:9pt;">그런데 </span><span style="font-family:'굴림', gulim, helvetica, sans-serif;line-height:18px;font-size:9pt;">ㅣf(x)-f(a)ㅣ가 </span><span style="font-size:9pt;font-family:'굴림', gulim, helvetica, sans-serif;line-height:18px;">ㅣ</span><span style="font-size:9pt;font-family:'굴림', gulim, helvetica, sans-serif;line-height:18px;">x-aㅣ보다 작거나 같은 상황이 가끔 나오더라구요</span></div> <div><span style="font-size:9pt;font-family:'굴림', gulim, helvetica, sans-serif;line-height:18px;">예를 들면 f(x)=x 같은 경우와 말이죠 </span><span style="font-size:9pt;line-height:1.5;">그럼 단순히 </span><span style="font-size:9pt;font-family:'굴림', gulim, helvetica, sans-serif;line-height:18px;">δ=</span><span style="font-size:9pt;font-family:'굴림', gulim, helvetica, sans-serif;line-height:18px;">ε라고 두면 안되나요?</span></div> <div><span style="font-family:'굴림', gulim, helvetica, sans-serif;font-size:9pt;line-height:18px;"><br></span></div> <div><span style="font-family:'굴림', gulim, helvetica, sans-serif;font-size:9pt;line-height:18px;">어떤 예제에서는 </span><span style="font-size:9pt;font-family:'굴림', gulim, helvetica, sans-serif;line-height:18px;">δ=</span><span style="font-size:9pt;font-family:'굴림', gulim, helvetica, sans-serif;line-height:18px;">ε 라고 둘 때도 있고 또 다른 예제에서는 적당히 큰 자연수 K가 존재하여 </span><span style="font-size:9pt;font-family:'굴림', gulim, helvetica, sans-serif;line-height:18px;">δ=(1/K)<</span><span style="font-size:9pt;font-family:'굴림', gulim, helvetica, sans-serif;line-height:18px;">ε 가 되는 </span><span style="font-size:9pt;font-family:'굴림', gulim, helvetica, sans-serif;line-height:18px;">δ를 잡더라구요</span></div> <div><span style="font-size:9pt;font-family:'굴림', gulim, helvetica, sans-serif;line-height:18px;">아무리 생각해봐도 무슨 차인지 모르겠습니다 어떤 경우에 </span><span style="font-size:9pt;font-family:'굴림', gulim, helvetica, sans-serif;line-height:18px;">δ=</span><span style="font-size:9pt;font-family:'굴림', gulim, helvetica, sans-serif;line-height:18px;">ε라고 둘 수 있나요?</span></div> <div><span style="font-size:9pt;font-family:'굴림', gulim, helvetica, sans-serif;line-height:18px;">정의역과 관련 있는것 같은데 자세히 잘 모르겠습니다 도와주세요ㅠㅠ</span></div> <div><span style="font-size:9pt;font-family:'굴림', gulim, helvetica, sans-serif;line-height:18px;"><br></span></div> <div><span style="font-size:9pt;font-family:'굴림', gulim, helvetica, sans-serif;line-height:18px;">본삭금 걸었습니다</span></div>
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