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Text File  |  1992-04-12  |  3KB  |  189 lines
  1. problem1
  2. y=x*ln(x)
  3. subs(x=0+zero, y )
  4. subs(zero=0, last)
  5. lim(x=0+zero, y)
  6. subs(zero=0, last)
  7. problem2
  8. y=tan(x)*ln(sin(x))
  9. subs(x=pi/2-zero, y )
  10. subs(zero=0, last)
  11. lim(x=pi/2-zero, y)
  12. subs(zero=0, last)
  13. problem3
  14. y=(x^2-1)*e^(-x^2)
  15. subs(x=inf, y)
  16. lim(x=inf, y)
  17. problem4
  18. y=x*(exp(1/x)-1) 
  19. subs(x=inf, y)
  20. lim(x=inf, y)
  21. problem5
  22. y=exp(-x)*sin(x)
  23. subs(x=0, y)
  24. problem6
  25. y=x*atan(x)
  26. subs(x=-inf, y)
  27. problem7
  28. y=sin(x)*ln(sin(x))
  29. subs(x=0+zero, y)
  30. subs(zero=0, last)
  31. lim(x=0+zero, y)
  32. subs(zero=0, last)
  33. problem8
  34. y=x*(pi/2-atan(x))
  35. subs(x=inf, y)
  36. lim(x=inf, y)
  37. problem9
  38. y=x*sin(1/x) 
  39. subs(x=inf, y)
  40. lim(x=inf, y)
  41. problem10
  42. y=exp(-x)*ln(x)
  43. subs(x=inf, y)
  44. lim(x=inf, y)
  45.  
  46. problem11
  47. y=x*sec(x)^2
  48. subs(x=0, y)
  49. problem12
  50. y= cos(x)^(x+1) 
  51. subs(x=0, y)
  52. problem13
  53. y= (1+1/x)^(5*x) 
  54. subs(x=inf, y)
  55. lim(x=inf, y)
  56. problem14
  57. y= (e^x+3*x)^(1/x) 
  58. subs(x=0+zero, y)
  59. subs(zero=0, last)
  60. lim(x=0+zero, y)
  61. subs(zero=0, last)
  62. problem15
  63. y= (e^x-1)^x 
  64. subs(x=0, y)
  65. lim(x=0, y)
  66. problem16
  67. y= x^x
  68. subs(x=0, y)
  69. lim(x=0, y)
  70. problem17
  71. y= x^(1/x)
  72. subs(x=inf, y)
  73. lim(x=inf, y)
  74. problem18
  75. y= tan(x)^cos(x)
  76. subs(x=pi/2-zero, y)
  77. subs(zero=0, last)
  78. lim(x=pi/2-zero, y)
  79. subs(zero=0, last)
  80. problem19
  81. y= tan(x)^x
  82. subs(x=pi/2-zero, y)
  83. subs(zero=0, last)
  84. lim(x=pi/2-zero, y)
  85. subs(zero=0, last)
  86. problem20
  87. y= (x-2)^x
  88. subs(x=2, y)
  89.  
  90. problem21
  91. y= (2*x+1)^cot(x)
  92. subs(x=0+zero, y)
  93. subs(zero=0, last)
  94. lim(x=0+zero, y)
  95. subs(zero=0, last)
  96. problem22
  97. y= (1+3*x)^csc(x)
  98. subs(x=0-zero, y)
  99. subs(zero=0, last)
  100. lim(x=0-zero, y)
  101. subs(zero=0, last)
  102. problem23
  103. y= x^2/(x-1)-x^2/(x+1)
  104. subs(x=inf, y)
  105. lim(x=inf, y)
  106. problem24
  107. y= 1/(x-1)-1/ln(x)
  108. subs(x=1, y)
  109. lim(x=1, y)
  110. problem25
  111. y= 1/x-1/sin(x)
  112. subs(x=0, y)
  113. lim(x=0, y)
  114. problem26
  115. y= sec(x)-tan(x)
  116. subs(x=pi/2-zero, y)
  117. lim(x=pi/2-zero, y)
  118. problem27
  119. y= (1-x)^ln(x)
  120. subs(x=1-zero, y)
  121. subs(zero=0, last)
  122. lim(x=1-zero, y)
  123. subs(zero=0, last)
  124. problem28
  125. y= (1+e^x)^exp(-x)
  126. subs(x=inf, y)
  127. lim(x=inf, y)
  128. problem29
  129. y= 1/sqrt(x^2+1)-1/x
  130. subs(x=0, y)
  131. lim(x=0, y)
  132. problem30
  133. y= cot(x)^2-csc(x)^2
  134. subs(x=0, y)
  135. lim(x=0, y)
  136.  
  137. problem31
  138. y= cot(2*x)*atan(x)
  139. subs(x=0, y)
  140. lim(x=0, y)
  141. problem32
  142. y= x^3*2^-x
  143. subs(x=inf, y)
  144. lim(x=inf, y)
  145. problem33
  146. y= cot(x)^2-e^-x
  147. subs(x=0, y)
  148. lim(x=0, y)
  149. problem34
  150. y= sqrt(x^2+4)-atan(x)
  151. subs(x=inf, y)
  152. lim(x=inf, y)
  153. problem35
  154. y= (1+cos(x))^tan(x)
  155. subs(x=pi/2-zero, y)
  156. subs(zero=0, last)
  157. lim(x=pi/2-zero, y)
  158. subs(zero=0, last)
  159. problem36
  160. y= (1+a*x)^(b/x)
  161. subs(x=0, y)
  162. lim(x=0, y)
  163. problem37
  164. y= x/(x^2+2*x-3)-4/(x+3)
  165. subs(x=-3, y)
  166. lim(x=-3, y)
  167. problem38
  168. y= sqrt(x^4+5*x^2+3)-x^2
  169. subs(x=inf, y)
  170. lim(x=inf, y)
  171. problem39
  172. y= (x+cos(2*x))^csc(3*x)
  173. subs(x=0, y)
  174. lim(x=0, y)
  175. problem40
  176. y= sec(x)*cos(3*x)
  177. subs(x=pi/2, y)
  178. lim(x=pi/2, y)
  179.  
  180. problem41
  181. y= sinh(x)-x
  182. subs(x=inf, y)
  183. lim(x=inf, y)
  184. problem42
  185. y= ln(4*x+3)-ln(3*x+4)
  186. subs(x=inf, y)
  187. lim(x=inf, y)
  188. end
  189.