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Find lim {x->pi/4} (1-tanx)/(1-sqrt(2)si...

Find `lim {x->pi/4} (1-tanx)/(1-sqrt(2)sinx)`

Text Solution

Verified by Experts

`lim_(x->a) f(x)/g(x)=lim_(x->a) f'(x)/g'(x)`
`lim_(x->pi/4) (d/dx(1-tanx))/(d/dx(1-sqrt2sinx))`
`lim_(x->pi/4) (-sec^2x)/(-srt2cosx)`
`1/sqrt2 lim_(x->pi/4) sec^3x`
`1/sqrt2 sec^3(pi/4)=1/sqrt2*sqrt2^3=2`
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