38–51. Limits Evaluate the following limits. Use l'Hôpital's Rule when needed. (? – t – 6)? (t + 2)? (2x – 1)2(5x – 4)³ 1- cos 4t 38. lim 2 39. lim sin 30 · tan 40 41. lim 40. lim 02 (4x – 1)5 42. lim (Vr? + 5x + 4 – Vr? – 3x + 4) xe – log(1 + x) 43. lim 40 cot 50 44. lim x2 sin x\ sec пX 45. lim 46. lim 0 tan 37x 2 1 47. lim xl x x - 3x? + 2x log sin x 49. lim (cosec x – cot x) 48. lim x 0 cot x log (x-π/2) log(x – a) 51. lim a log(e* - ea) 50. lim tan x

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.