Usingthe recursionrelationagainto findx 3 , we get
We concludethat the solutionto the equation is about0.6836403.
ReviewQuestions
- Find the linearizationof
ata= 1.
- Find the linearizationoff(x) = tanxata= π.
- Use the linearizationmethodto showthat whenx 1 (muchless than 1), then (1 +x)n 1 + nx.
- Use the resultof problem#3, (1 +x)n 1 + nx, to find the approximationfor the following:
a.
b.