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Ankur Rao
cancellation in mathematics means you will multiply h both side but as h is tending to zero so it is somehow similar to multiplying with zero and as we know by multiplying zero we can proof anything true so it will not correct way to get proper answer.
but h approaching zero never means that h=0.
but it will generate an infinite and you are not sure that how both side will behave at infinity and in mathematics if we are not sure about anything then we don't write directly . here both side are equal mean they are not infinite because at infinity we cannot compare two numbers so then their is no meaning of equal to sign because of this we are using limits.