माना फलन [{:((1-a^(x) + xa^(x)lna)/(a^(x...

माना फलन `[{:((1-a^(x) + xa^(x)lna)/(a^(x)x^(2)), x lt 0 "के लिए"),((2^(x)a^(x)-xln2 -xlna-1)/x^(2), x gt 0 "के लिए'):}` जहाँ `a gt 0`
a तथा g(0) का मान ज्ञात कीजिए ताकि फलन `g(x), x =0` पर संतत हो|

Verified by Experts

The correct Answer is:

`a=1/sqrt(2), g(0) = (ln2)^(2)/8`

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