verify the given linear approximation at a=0, then determine the values of x for which the linear approximation is accurate to within 0.1

which assuming means

but couldn't get the given answer of

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- Mar 10th 2010, 04:11 PMbigwavelinear approximation
verify the given linear approximation at a=0, then determine the values of x for which the linear approximation is accurate to within 0.1

which assuming means

but couldn't get the given answer of

- Mar 10th 2010, 10:09 PMdrumist
First, we notice that the domain is .

Since both sides of the inequality are always non-negative over the domain :

Solving this gives which matches the solution you gave.

By the way, the other side doesn't actually give any restriction:

Which is always true, so there is no additional restriction here.