I have the following function: <mroot> x + 3

opepayflarpws

opepayflarpws

Answered question

2022-06-09

I have the following function:
x + 3 3 ( x 2 + 1 x 2 + 3 x + 4 ) x 2 + 5 6

Answer & Explanation

stigliy0

stigliy0

Beginner2022-06-10Added 21 answers

You have
lim x x + 3 3 ( x 2 + 1 x 2 + 3 x + 4 ) x 2 + 5 6 = = lim x x + 3 3 ( 3 x 3 ) x 2 + 5 6 ( x 2 + 1 + x 2 + 3 x + 4 ) = = lim x x + 3 3 x 2 + 5 6 lim x 3 x 3 x 2 + 1 + x 2 + 3 x + 4 = = ( 1 ) × 3 2 = 3 2 .
We have
lim x x + 1 x 2 + 1 + x 2 + 3 x + 4 = 1 2
because
lim x x + 1 x 2 + 1 + x 2 + 3 x + 4 = lim x 1 + 1 x 1 + 1 x 2 1 3 x 4 x 2 = 1 1 1 = 1 2 .

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