When forming the difference quotient for

MATHEMATICS · Subjective · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

When forming the difference quotient for f(x)=x4f(x)=x^{4}, the expansion of (x+h)4(x+h)^{4} is used. In one sentence, describe why every term except the one containing the first power of hh becomes irrelevant as h→0h\to 0.

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