1 If ym + y¯m = 2x then prove that (x² − 1)⁄n+2 + (2n + 1)xYn+1 + (n² — m²)yn = 0 and also find (yn)o

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A: topic - integration

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Q: 36x12. -1. Provide appropriate 6x6 –1 (b) Find the least integer n such that f(x) is O(x") for ƒ(x)…

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Q: Show that In (x + √√x² + 1) = √√x² + 1² 1 & 1 . d_ \n(x + √ x² + 1) = x + √√x² + 1 dx d dx (

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Q: (b) Compute 1₂ x + y √2 - 2² - y²|dA, = {(x, y) |x² + y² ≤ 1} D =

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Q: Show that: n n > (xi – x)2 > x? – n(x)2 | i=1 i=1

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