Direct comparison test
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Direct comparison test
The comparison test helps us decide if a series converges (sums to a finite value) or diverges (goes to infinity). If a smaller series converges, the larger one does too. If a smaller series diverges, the larger one also diverges. This test works for series with non-negative terms.
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SOLVED:Use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integrals for convergence. If more than one method applies, use whatever method you prefer. ∫π^∞ (1 sinx)/(x^2) d x
SOLVED:Use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integrals for convergence. If more than one method applies, use whatever method you prefer. ∫π^∞ (1 sinx)/(x^2) d x
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