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JEEMAIN and NEET
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Mathematics
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Limit, Continuity and Differentiability
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If $f(x)=3x^{10}-7x^8+5x^6-21x^3+3x^2-7$ then value of $\lim\limits_{\alpha \to 0}\large\frac{f(1-\alpha)-f(1)}{\alpha^3+3\alpha}$ is
$(a)\;\large\frac{53}{3}$$\qquad(b)\;\large\frac{22}{3}$$\qquad(c)\;13\qquad(d)\;None\;of\;these$
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