f(xn) f(xn-1) xna, prove that lim |C| = 1. n→∞ 5. Consider Cn = ƒ'(ïn-1). Under the assumption that f'(a) ‡ 0 and f'(cn) X

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A: We will use properties of logarithm. lnan = n lna  ln(a.b) = lna + lnb

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Q: If f' is continuous, f'(2) = 7, and f(2) = 0, then

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Q: X = (1-_-_-_-)* 2 o then f(x) tend:

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Q: Using the limits sin h lim h→0 h - 1 and cos h lim h→0 h - 1 as facts (which do not need to be…

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A: To find the derivative of f(x)

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Q: If f is differentiable at xo, prove that f (xo + h) – f (xo – h) – f' (x0) - lim h-0 2h

A: Given that: f is differentiable at xo   To prove: limh→0f(x0+h)-f(x0-h)2h=f'(x0)

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Q: Let 1 f(x) = X - - 1 A) First calculate f'(a) = lim h→0 f'(a)= (i) ƒ' ( − 2) = = (ii) ƒ'(0) = (iii)…

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Q: 1) Use the limit definition of derivative f'(a) = lim h→0 f(a+h)-f(a) h x to find the equation of…

A: We have to find the equation of the tangent line to the curve y=x1-x at the 0, 0.