Use the Squeeze Theorem to find \lim_{x\to c}f(x) c=a, b-|x-a|\leq f(x)\leq b

a2linetagadaW

a2linetagadaW

Answered question

2021-10-31

Use the Squeeze Theorem to find limxcf(x)c=a,b|xa|f(x)b+|xa|

Answer & Explanation

Brighton

Brighton

Skilled2021-11-01Added 103 answers

If h(x)f(x)g(x)
And limxah(x)=L
And limxag(x)=L
Then limxaf(x)=L
Given that b|xa|f(x)b+|xa|
Since limxab|xa|=b0=b
And, limxab+|xa|=b+0=b
By Squeeze Theorem, we have
limxaf(x)=b
Result: limxaf(x)=b

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