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Let ()=1−1 112. calculate the following values: ()= ( ℎ)= ( ℎ)−()ℎ= for ℎ≠0.

User Mcnesium
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Final answer:

The student is required to calculate the limit of the difference quotient for the function f(x) = 1 - (1/x^2) as h approaches zero.

Step-by-step explanation:

The question is asking for the computation of a limit as h approaches zero for the function f(x) = 1 - (1/x^2). The student is tasked with calculating f(x + h) and the difference quotient [f(x + h) - f(x)] / h, which is a foundational concept in calculus often associated with the derivative of a function at a point.

To tackle this problem, first find the expression for f(x + h). Then compute f(x + h) - f(x), and lastly, divide this difference by h. Remember to simplify the expression wherever possible and to cancel out the h in the numerator and denominator to avoid a zero division error, since h is not equal to zero.

User Gbtimmon
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