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find the limit. Lim x-->1....(2x^4-6x^3+x^2+3)/(x-1)
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If you plug x=1 into your equation, you'll get 0/0. That means you can apply L'Hospital's rule (take the derivative of the numerator and denominator). Applying L'Hospital's rule, you'll get \[\lim_{x \rightarrow 1} 8x^{3}-18x^{2}+2x\] Now you can evaluate your limit.
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