Math  /  Algebra

QuestionFind the limit of f(x+h)f(x)h\frac{f(x+h)-f(x)}{h} for f(x)=x2+1f(x)=x^{2}+1 as h0h \neq 0.

Studdy Solution
Now, divide each term in the numerator by hh.
f(x+h)f(x)h=2x+h\frac{f(x+h)-f(x)}{h} =2x+hSo, the value of f(x+h)f(x)h\frac{f(x+h)-f(x)}{h} is 2x+h2x+h.

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