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44 lines
1010 B
Plaintext
44 lines
1010 B
Plaintext
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; Tests for the experimental limit command.
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clear all
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; find the derivative of:
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y = 1/(x^.5)
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; using the difference quotient:
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y' = (1/(x+delta_x)^.5-1/x^.5)/delta_x
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limit delta_x 0 ; take the limit as delta_x (change in x) goes to 0
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3
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integrate x ; take the antiderivative to see if it's right
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compare 1
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; test infinity limits:
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2x/(x+1)
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limit x inf ; answer should be 2
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(3x+100-a)/(x-b)
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limit x inf ; answer should be 3
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(((x^2) - (5*x) + 6)^(1/2)) - x
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limit x inf ; answer should be -5/2
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x*((x^2+1)^.5-x)
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limit x inf ; answer should be 1/2
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1/x^2+1/x
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limit y inf ; result should be original expression with a warning.
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limit x inf ; result should be 0
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((2*(x^2)) - x - 6)/((x^2) + (2*x) - 8)
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limit x inf ; result should be 2
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x^2+x
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limit x 0 ; result should be 0
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limit x 2 ; result should be 6
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display
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; The following currently gives the wrong answer:
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limit x inf ; result should be inf
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; The following currently gives errors:
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y=x+1/x
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:limit x 0 ; result should be inf
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:limit x inf; result should be inf
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