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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §2.6 Limits, #35 · Calculus · Limits

Find the limit as … if it exists: …\frac{3x^2+2x+1}{3+2x+x^2}\qquad \frac{x^4}{x^3+x^2}\qquad \frac{x^2+1000}{x^3-1000}\qquad x\sin\frac{1}{x}

Find the limit as $x \to \infty$ if it exists:
$\frac{3 x ^{2} + 2 x + 1}{3 + 2 x + x ^{2}} \frac{x ^{4}}{x ^{3} + x ^{2}} \frac{x ^{2} + 1000}{x ^{3} - 1000} x sin \frac{1}{x} .$

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §2.6 Limits, #35

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