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MathsJEEFunctions & Limits: the misconceptions that cost marks
4 wrong ideas students commonly carry in Functions & Limits. Each page has a one-question check and a careful explanation of what's actually true.
- Is the limit of a function just its value at that point?Myth: The limit at a point is just the function's value there.
- Does √(x²) always equal x?Myth: √(x²) always equals x.
- Is a function that is continuous at a point always differentiable there?Myth: If a function is continuous at a point, it is differentiable there.
- Does a limit of the form 1^∞ always equal 1?Myth: A limit of the form 1^∞ always equals 1.