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

ka1leE 2021-10-28 Answered
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
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escumantsu
Answered 2021-10-29 Author has 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
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