# 1. Find each limit, if it exists. (a) lim x?-1 ?-3 x 4-2×3?5×2?4? (b) lim x? 3 2×2-11x?15 x-3…

1. Experience each season, if it remains. 4 3 2 lim ?-3 x -2x ?5x ?4? (a) x?-1 2 2x -11x?15 (b) lim x-3 x?3 5 3 2 6x ?7x -3x (c) lim 5 x?-8 1?2x-3x 3 3x ?8x?1 (d) lim 2 x?8 3x -4 sin?7x? (e) lim sin?4x? x?0 2. A rocket is shot undeviating up so that its aspect behind t seconds is abandoned by 2 (measured in feet). s?t?=-16t ?20t?25 (a) Experience the swiftness for any season t. (b) Experience the succor for any season t. (c) When does the rocket stretch its culmination crisis? 2 3. Experience the equation of the tangent continuity to the deflexion f ?x?=4x -5x?2 at x=1 . 16 5 3 2 4. Experience the derivative of y= x -3x ?4x -2x ?9x?5 4 3 2 5. Evaluate the perfect Y= ?10x -4x ?6x ?3? dx ? abandoned that Y=5 when x=1 . 2 ?2x-5??3x -2x-8? f ? x?= 6. For , 2 6x -7x-20 (a) For what x-values is f ? x? discontinuous? (b) How should f ? x? be defined to gain it faithful at its discontinuities? f ?x? That is, redefine as a piecewise, faithful business. f ? x?h?- f ?x? 7. Use the specification of the derivative, namely f '? x?=lim , to experience h h?0 -5 f ?x?= the derivative for . 2 x 8. For continuity L abandoned by 3x – 2y = 4, (a) What is the arise of the continuity L? (b) What is the arise of any analogous continuity to L? (c) What is the arise of any continuity standing-upright to L? (d) What is the equation of the continuity going through the purpose (5, -1) and standing-upright to continuity L? 29. For this piecewise business. 3x?1 -4=x?0 2 g? x?= x -2 0? x=2 { } -2x?5 x?2 (a) Graph this business. Now, evaluate the subjoined, or set-forth that the response does not remain. lim g?x? (b) = _______________________________ x?2 lim g? x? (c) = ________________________________ x?5 lim g?x? (d) = ________________________________ + x?0 lim g?x? (e) = ________________________________ - x?0 g?2? (f) = ___________________________________ (g) g?0? = ___________________________________ 3

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