Continuity
Can we use taylor series approximation to find continuity of a point of the given function? It's a thought that came to my mind, not taught anywhere...
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@Apu
Note for OP
+solved @user1 @user2... to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.probably not cuz taylor series tries to approximate an already continuous function into a polynomial function so if you were to apply it on a discontinuous then it will convert it into a continuous one and your answer will be wrong. im telling this from my limitied knowledge of the taylor approximation, btw
Taylor series can sometimes be used to infer continuity at a point ( a ), it's primarily a tool for examining the local behavior of a function rather than its global continuity properties.
+solved @lava @Say_miracle_shadow
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