Calendar: 1881-1882 Page 634
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GENERAL LITERATURE AND SCIENCE 635 Explain the symbols Et Δ showing that they satisfy the fundamental laws of algebra Prove that and show that Ε Δ ס ן φ τ η φ χ η φ χ 4- 2η φ χ 2η Ψ Χ η η φ etc 3λ Show that if φ χ and its differential coefficients up to the th order are continuous from χ to and vanish when χ then Deduce from this or give any other proof of Taylor's Theorem Prove that sin 3x x3 arxr 120 where ar if be even and tfr 9ar '2 if be odd Integrate the following expressions ע ζ ί Λ2 Ο Define the term principal integral Explain the anomalous results ί
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