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Can you explain why & answer on these 2 questions ?

Can you explain why & answer on these 2 questions ? 

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find the equation of the tangent line 9085828.doc

If f is differentiable at x then f x lim
h 0 1 f x h f x
h Given that f x 1 x
f x h 1 x h
So, f x lim 1 x h 1 x h
1 x h 1 x
f x lim
h0
h
xh x
f x lim
h0
h
h 0 Rationalizing numerator and...

find the equation of the tangent line 9085828.pdf

If f is differentiable at x then f x lim f x h f x h 0 h 1
Given that f x 1 x
f x h 1 x h
So, f x lim 1 x h 1 x h 0 f x lim
h 0 h 1 x h 1 x
h
xh x
h f x lim
h 0 Rationalizing numerator and...

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