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

Kyran Hudson

Kyran Hudson

Answered question

2021-10-11

Show that the limit leads to an indeterminate form. Then carry out the two-step procedure: Transform the function algebraically and evaluate using continuity.
limx92t185t45

Answer & Explanation

Pohanginah

Pohanginah

Skilled2021-10-12Added 96 answers

We have to show the limit leads to an indeterminate form and we have to find the limit:
limx92t185t45
Puting t=9 in the function,
limt92t185t45=2×9185×945
=18184545
=00
Hence, limit of the function isinderminate form of 00.
Finding the limit by factoring the numerator as well as denominator,
limt92t185t45=limt92(t9)5(t9)
=25
Hence, value of limit is 25
Jeffrey Jordon

Jeffrey Jordon

Expert2022-08-24Added 2605 answers

Answer is given below (on video)

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