Evaluate :

`lim_( P -> alpha ) ( ( p + 1 )/ ( p + 2 ) )^p`

If p + 1/ ( p + 2 ) = 3 , find the value ( p + 2 )^3 + 1/( p + 2 )^3

lim_ (n rarr oo) (1 ^ (p) + 2 ^ (p) + 3 ^ (p) + ......... + n ^ (p)) / (n ^ (p + 1) )

If p + 1/( p + 2 ) = 3 , find the value of ( p + 2 )^3 + 1/( p + 2 )^3

(2p+1)sin alpha=2p(p+1)cos alpha rArr sin alpha= 1) (2p+1)/(2p^(2)+2p+1) 2(2p+3)/(2p^(2)+2p+1)3)(2p(p+1))/(2p^(2)+2p+1)4)1

If p+(1/p)=2 find the value of p xx p xx p , यदि p+(1/p)=2 , p xx p xx p का मान ज्ञात करें

If the value of lim_(x->0)( ((3/ x)+1)/((3/x)-1))^(1/x) can be expressed in the form of e^(p/q), where p and q are relative prime then find the value of (p+q) .

The value of ("lim")_(xvec1)(p/(1-x^p)-q/(1-x^q)),p ,q , in N , equal (a)(p+q)/2 (b) (p q)/2 (c) (p-q)/2 (d) sqrt(p/q)

Obtain the perpendicular form of the equation of st.lines from the given values of p and alpha (i) p=5 , alpha=30^(@) (ii) p=1 , alpha=90^(@) (iii)p=4 , alpha=15^(@)

The value of lim_(x rarr1)(x^(p+1)-px+p)/((x-1)^(2)) equals