Leg `p_n=a^(P_(n-1))-1,AAn=2,3, ,a n dl e tP_1=a^x-1,` where `a in R^+dot` Then evaluate `("lim")_(xvec0)(P_n)/x`

If ^(2n+1)P_(n-1):^(2n-1)P_(n)=3:5, find n

If ^(2n+1)P_(n-1):^(2n-1)P_(n)=3:5, then find the value of n.

If f(x)={x-1,xgeq1 2x^2-2,x 0-x^2+1,xlt=0,a n dh(x) =|x|,t h e n("lim")_(xvec0)f(g(h(x))) is___

If ""^(2n-1)P_(n): ""^(2n+1)P_(n-1)=22:7 , find n.

The sequence p_(1), p_(2), p_(3), ... satisfies the relation 2p_(n)=p_(n-1)+p_(n+1) where n gt 1 . Given that p_(5)=26 and p_(7)=38 , then find the value of p_(50)+p_(90) .

If ^(n+5)P_(n+1)=(11(n-1))/(2)n+3P_(n), find n