Evaluate the limits in Exercises 55–60. Use the theorems in this section to justify each step of your work. 55. lim k→o 2k sin k (Hint: Use the Squeeze Theorem.) (1+:)(--}) 56. lim k00 k – 7 k3 +1 57. lim k00 3k +5 58. lim k2 59. lim (Vk2 + k – k) 60. lim (Vk3 +k+1 - vk3 – k – 1) (Hint: Write as a quo- k00 tient and rationalize the numerator.)

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