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

UkusakazaL

UkusakazaL

Answered question

2021-10-20

Show that the limit leads to an indeterminate form. Then carry out the two-step procedure: Transform the function algebraically and evaluate using continuity.
limh39h2h3

Answer & Explanation

casincal

casincal

Skilled2021-10-21Added 82 answers

The given expression is limh39h2h3
limh39h2h3=93233
=00 Indeterminate form
First transform algebraically the function,
Factorize the numerator,
9h2=(h29)
=(h232)
=(h+3)(h3)
limh3(9h2h3)=limh3((h+3)(h3)h3)
=limh3(h+3)
=6
Jeffrey Jordon

Jeffrey Jordon

Expert2022-08-24Added 2605 answers

Answer is given below (on video)

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