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Q1)applying limit in the form of 0/0 so apply L-hospitals rule for both numerator and denominator independently.

we get $lim_{x->1} -e^{-x}/1$

then apply limit =-1/e

Q2) same applying limit 0/0

after apply L-hospitals rule     $lim_{x->0} (\frac{p}{1+px})/3.e^{3x}$

=p/3
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