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Advanced mathematics | Takeshi's "classic series" daily question train of thought and summary of error prone points
2022-07-26 09:02:00 【Xipi yo】
Classic mistakes
1、 When judging breakpoints and their types , Deform the function , Notice whether the denominator is equal to 0 Factor elimination of . In this way, it is possible to eliminate the discontinuity .—— 259 topic
Common ideas
1、 Use of bounded conditions : bounded x An infinitesimal = An infinitesimal —— 260 topic
Daily question and process
259: belt x^n The limits of ( Limit definition function )
【 Classic mistakes 】 When judging breakpoints and their types , Deform the function , Notice whether the denominator is equal to 0 Factor elimination of . In this way, it is possible to eliminate the discontinuity . Wrong choice C.
【 Ideas 】
First of all, think of
Add :
260: Use of bounded conditions
【 Ideas 】f(x) stay 1 Continuous , Then the limit value is equal to 1 Function value , Want function value , Convert to limit value , Look at the questions , The limit you want is on the molecule , Its denominator is 0( An infinitesimal ), The thought of bounded x An infinitesimal = An infinitesimal .
261:
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