Find the following limits or state that they do not exist. Assume a, b, c, and k

sibuzwaW

sibuzwaW

Answered question

2021-10-31

Find the following limits or state that they do not exist. Assume a, b, c, and k are fixed real numbers.
limx0sin2xsinx

Answer & Explanation

likvau

likvau

Skilled2021-11-01Added 75 answers

We first try to find the limit by substitution
limx0sin(2x)sin(x)
=sin(2(0))sin(0)
=sin(0)sin(0)
=00
Since it is in the 0/0 form, so we can use LHospitals rule.
limx0sin(2x)sin(x)
=limx02cos(2x)cos(x)
=2cos(2(0))cos(0)
=2cos(0)cos(0)
=2(1)(1)
=2
Answer: 2
Jeffrey Jordon

Jeffrey Jordon

Expert2022-07-04Added 2605 answers

Answer is given below (on video)

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