Show that 1 - x2 is the tangent line approximation to 1


Question: 1. Find the local linearization of f(x) = x2 near x = 1.

2. What is the local linearization of ex2 near x = 1?

3. Show that 1 - x/2 is the tangent line approximation to 1/√(1 - x) near x = 0.

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Mathematics: Show that 1 - x2 is the tangent line approximation to 1
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