Maple Tutor

Part 12: Limits

1. Limits are easy to calculate in Maple. As a test we'll calculate the limit of sin(x)/x as x approaches 0. Enter the following:
   limit(sin(x)/x, x = 0);

2. The Maple limit command also calculates limits at infinity. Enter
   limit((1 + x³)/((1 + x)*(1+2*x²)), x = infinity);

3. The standard limit command will deal with one-sided limits if there is no possibility of confusion. Enter
   limit(sqrt(x)/sqrt(x + x^2), x=0);

   Now try
   limit(abs(x)/x, x = 0);

   Why is this limit ambiguous? Try
   limit(abs(x)/x, x = 0, right);

   Now replace "right" by "left."

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Copyright CCP and the author(s), 2000