1) can we say limit of a function f(x) such that limit(adsbygoogle = window.adsbygoogle || []).push({}); _{x[tex]\rightarrow[/tex]a}f(x) gives the slope of this function around this point x = a.

2) can we say that to find slope i.e. limit of a function f(x) we always need a point "a" such that limit_{x[tex]\rightarrow[/tex]a}f(x) = slope

3) can we say that if left hand limit = right hand limit and limit_{x[tex]\rightarrow[/tex]a}f(x) = f(a) then it is a continuous function.

4) can we say that if a derivative exist then it is just the slope of a continuous function.

5) can we say that in order to find derivative we normally don't need above mentioned point x = a

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# Physical significance of limit

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