If 4\leq x g(x)\leq2x^4-2x^2+4 for all x, evaluate \lim_{x\to1}g(x)

urca3m403

urca3m403

Answered question

2021-11-14

If 4xg(x)2x42x2+4 for all x, evaluate limx1g(x)

Answer & Explanation

Drood1980

Drood1980

Beginner2021-11-15Added 16 answers

Given,
4xg(x)2x42x2+4 for all x.
Now,
limx14x=4(1)
=4
and
limx1(2x42x2+4)=2(1)42(1)2+4
=22+4
=4

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