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lim（x→2）x^4-16/x-2求极限
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lim （x→2 ） x^4-16/x-2 求极限
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答案和解析
lim (x→2 )(x^4-16)/(x-2)
=lim (x→2 )(x^2+4)(x^2-4)/(x-2)
=lim (x→2 )(x^2+4)(x+2)(x-2)/(x-2)
=lim (x→2 )(x^2+4)(x+2)
=lim (x→2 )(2^2+4)(2+2)
=32
=lim (x→2 )(x^2+4)(x^2-4)/(x-2)
=lim (x→2 )(x^2+4)(x+2)(x-2)/(x-2)
=lim (x→2 )(x^2+4)(x+2)
=lim (x→2 )(2^2+4)(2+2)
=32
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