Solve. lim_(xrightarrow 1)(4x-4)/(x^5 -x^4) and lim_(xrightarrow infty)(4x^5 -4)/(x^5 -x^4)

Max Macias

Max Macias

Answered question

2022-08-05

Solve.
lim x 1 4 x 4 x 5 x 4
and
lim x 4 x 5 4 x 5 x 4

Answer & Explanation

quillassed7

quillassed7

Beginner2022-08-06Added 13 answers

lim x 1 ( 4 x 4 ) ( x 5 x 4 ) = lim x 1 4 5 x 4 4 x 3 = 4 5 4 = 4
= lim x ( 4 x 5 4 ) 1 x 5 ( x 5 x 4 ) 1 x 5 = lim x 4 4 x 5 1 1 x = 4 0 1 0 = 4
pigskiniv

pigskiniv

Beginner2022-08-07Added 2 answers

lim x 1 4 x 4 x 5 x 4   a n d   lim x 4 x 5 4 x 5 x 4
By L'Hospital rule
lim x 1 4 5 x 4 4 x 3   a n d   lim x 20 5 x 4 4 x 3
= 4 5 4   a n d   20
=4 and 0

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