Show that the limit leads to an indeterminate form. Then carry out the two-step

ka1leE

ka1leE

Answered question

2021-10-28

Show that the limit leads to an indeterminate form. Then carry out the two-step procedure: Transform the function algebraically and evaluate using continuity.
limx1x2+2x+1x+1

Answer & Explanation

escumantsu

escumantsu

Skilled2021-10-29Added 98 answers

Begin expression,
limx1x2+2x+1x+1
Substituting x=-1,
(1)2+2(1)+11+1=00 Identifical form
Waiting (x2+2x+1)=(x+1)2
Since (a+b)2=a2b2ab
limx1(x+1)2x+1
limx1(x+1)
1+1=0
Jeffrey Jordon

Jeffrey Jordon

Expert2022-08-24Added 2605 answers

Answer is given below (on video)

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