## Calculus |

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### Contents

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Limits and Rates of Change | 24 |

the Limit Laws | 35 |

Copyright | |

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2cosx 2udu 2xdx absolute minimum Alternating Series Test arctan asymptotes convergent p-series cos0 cos2 cosh cosx cotx critical number curve is symmetric decreasing differentiable directrix dx/dt dy _ ellipse equation EXERCISES extrema f is continuous f is increasing function Fundamental Theorem geometric series graph harmonic series Hence hyperbola Intermediate Value Theorem interval l,oo Let f(x lim f(x lim x2 Limit Comparison Test loga mathematical induction maximum parabola polynomial quadrant quadratic formula Ratio Test Rolle's Theorem root sec xdx sec2 secx series converges series diverges sin0 sin2 sin2x sinh sinx sinxdx slope Squeeze Theorem symmetry tangent line tanh tanx Test for Divergence triangle Value Theorem vertex vertical y-axis y-intercept тг