-1 1. State Leibnitz's theorem. If y = (sin x), show that (1-x)y+2-(2n+1)xy+-ny = 0 2....

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-1 1. State Leibnitz's theorem. If y = (sin x), show that (1-x)y+2-(2n+1)xy+-ny = 0 2. Verify Rolle's Theorem for f(x)=log- x+ab ; x [a, b]. How does Rolle's Theorem (a+b)x differ from Lagrange's mean value theorem. lim 3. Evaluate x 0 sin x 4. Find the asymptotes to the curve y +2xy+xy-y+1=0 -1 1. State Leibnitz's theorem. If y = (sin x), show that (1-x)y+2-(2n+1)xy+-ny = 0 2. Verify Rolle's Theorem for f(x)=log- x+ab ; x [a, b]. How does Rolle's Theorem (a+b)x differ from Lagrange's mean value theorem. lim 3. Evaluate x 0 sin x 4. Find the asymptotes to the curve y +2xy+xy-y+1=0