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Is my calculator being stupid? Limit problem.?
Given:
Limit as x->0 of sin3x/2x.
My work:
Lim sin3x/2x = Lim 3/2 * Lim sinx/x = 3/2 *1 = 3/2,
but my calculator insists that it is zero.
Am I remembering something wrong?
4 Answers
- BigfootLv 71 decade agoFavorite Answer
Your answer is right, you may have typed the question wrong into your calculator. The syntax I have is (sin(3*x)/(2*x)). Remember that calculators follow the order of operations to the letter. If you put in sin(3x)/2x, the calculator interprets this as (sin(3x)/2)*x. Essentially, x*sin(3x)/2, which goes to zero.
- 1 decade ago
Are you in the right mode? remember radians not degrees. And zero is a limt because if you put zero in it creates division by zero which can't be done so zero is kind of limit called a hole.
- 1 decade ago
the machine is always a machine. the machine don't have a mind.
Even your computer don't have a mind.
All depend on the information you give to him.
JP.
- Anonymous1 decade ago
Calculaters are technology and are not stupid.
