Solve the limit: \lim_{x\to0}\frac{(3+x)^2-9}{x}

Alyce Wilkinson

Alyce Wilkinson

Answered question

2021-10-22

Solve the limit:
limx0(3+x)29x

Answer & Explanation

Bentley Leach

Bentley Leach

Skilled2021-10-23Added 109 answers

limx0(3+x)29x
Find limit when x=0
When put x=0 this made (00 form
Now using L'Hospital Rule
limx0ddx(3+x)29ddx(9)
limx02(3+x)01
limx06+x
Put x=0
6+0
6
Hence limx0(3+x)29x=6

Jeffrey Jordon

Jeffrey Jordon

Expert2022-07-05Added 2605 answers

Answer is given below (on video)

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