let f:(1,2)- R satisfies the inequality cos(2x-4)-33/2 2 |4x-8|/x-2 for all xE(1,2) LIM X-2 - F(X)=

Question

let f:(1,2)-> R satisfies the inequality cos(2x-4)-33/2 2 |4x-8|/x-2 for all xE(1,2) LIM X->2 - F(X)=

Vikas TU · Answer

Solve first mod, Take case x 2 is not possible according to its domain. cos(2x-4)-33/2 2 |4x-8|/x-2 becomes: cos(2x-4)-33/4 (- 4x + 8)/x-2 Now apply simply L-Hospital.put x = 2.

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let f:(1,2)-> R satisfies the inequality cos(2x-4)-33/2 2 |4x-8|/x-2 for all xE(1,2) LIM X->2 - F(X)=

let f:(1,2)-> R satisfies the inequality
cos(2x-4)-33/2²|4x-8|/x-2 for all xE(1,2)
LIM_X->2^-F(X)=

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let f:(1,2)-> R satisfies the inequality cos(2x-4)-33/2 2 |4x-8|/x-2 for all xE(1,2) LIM X->2 - F(X)=

let f:(1,2)-> R satisfies the inequalitycos(2x-4)-33/22 |4x-8|/x-2 for all xE(1,2)LIMX->2-F(X)=

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let f:(1,2)-> R satisfies the inequality
cos(2x-4)-33/2²|4x-8|/x-2 for all xE(1,2)
LIM_X->2^-F(X)=