Meaning of divergent limit?
By David Jones •
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What is its value. What is the meaning of limit diverges. Can I say here that the limit does not exist.
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$\begingroup$It does not converge to any value, it diverges by oscillation. 1/sin(x)=csc(x) and the csc keeps cyclically jumping from -inf -> -1 -> -inf -> inf -> 1 -> inf -> -inf ->...... and never converges to anything. This is like asking what is the limit of the sequence 1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1..... as the index tends to infinity.
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