{Lt}_{x\to2} {x^{4}-16}/{x-2} విలువ ఎంత?

TS Police Constable Telugu Model Paper 8

Question : 63 of 199

Marks: +1, -0

{Lt}↙{x→2} {x^{4}-16}/{x-2}

విలువ ఎంత?

Solution:

{Lt}↙{x→2}{x^4-16}/{x-2}⇒{Lt}↙{x→2}{x^4-2^4}/{x-2}

={Lt}↙{x→2}({x^m-a^m}/{x-a}=ma^{m-1})

=4(2)^{4-1}

=4×2^3

=32

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