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Evaluate (lim)(xvec4)int4^x((4t-f(t)))/...

Evaluate `(lim)_(xvec4)int_4^x((4t-f(t)))/((x-4))dt`

Text Solution

Verified by Experts

The correct Answer is:
`16-f(4)`
`L=lim_(xto4)int_(4)^(x)((4t-f(t)))/((x-4))dt=limt_(xto4)(int_(4)^(1)(4t-f(t))dt)/(x-4)`
( `0//0` form , using L Hopital's rule)
`=lim_(xto 4)(4x-f(x))/1`
`16-f(4)`
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