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f(x) ={{:((a^(sinx)- a^(tanx))/(tan x- s...

`f(x) ={{:((a^(sinx)- a^(tanx))/(tan x- sinx), x gt 0 "के लिए"),((ln(1+x+x^(2))+ln(1-x+x^(2)))/(secx - cos x), x lt 0 "के लिए"):}` यदि `f, x =0` पर संतत है तब 'a' ज्ञात कीजिए|
अब यदि g(x) `=ln(2-x/a).cot(x-a), x ne a, a ne 0, a gt 0` के लिए| यदि `g, x=a` पर संतत है तब प्रदर्शित कीजिए की `f(e^(-1))=-e` है|

लिखित उत्तर

Verified by Experts

The correct Answer is:
`a=e^(-1)`
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