List IList II (A)If limn→∞(n2+1n+1−an)−b=0,thenthe value of b is(P)0(B)If x2y+y3=2 and the value of d2ydx2 at x=1 is −m8, then the value of m is(Q)1(C)If f(x)={x,x≤1x2+bx+c,x>1 and f′(x)exists for all x∈R, then the value of c is(R)2(D)If f(x)=x∫0tsin1t dt, then the number ofpoint(s) of discontinuity of f(x) in (0,π) is(S)−1(T)4(U)3Which of the following is the only CORRECT combination?

List IList II (A)If limn→∞(n2+1n+1−an)−b=0,thenthe value of b

1.	List IList II (A)If limn→∞(n2+1n+1−an)−b=0,thenthe value of b is(P)0(B)If x2y+y3=2 and the value of d2ydx2 at x=1 is −m8, then the value of m is(Q)1(C)If f(x)={x,x≤1x2+bx+c,x>1 and f′(x)exists for all x∈R, then the value of c is(R)2(D)If f(x)=x∫0tsin1t dt, then the number ofpoint(s) of discontinuity of f(x) in (0,π) is(S)−1(T)4(U)3Which of the following is the only CORRECT combination?
Answer» $\begin{matrix} List I & List II (A) & If lim n \to \infty (\frac{n^{2} + 1}{n + 1} - a n) - b = 0, then the value of b is & (P) & 0 (B) & If x^{2} y + y^{3} = 2 and the value of \frac{d^{2} y}{d x^{2}} at x = 1 is - \frac{m}{8}, then the value of m is & (Q) & 1 (C) & If f (x) = {\begin{matrix} x, & x \leq 1 x^{2} + b x + c, & x > 1 \end{matrix} and f^{'} (x) exists for all x \in R, then the value of c is & (R) & 2 (D) & If f (x) = x \int 0 t sin \frac{1}{t} d t, then the number of point(s) of discontinuity of f (x) in (0, π) is & (S) & - 1 (T) & 4 (U) & 3 \end{matrix}$ Which of the following is the only CORRECT combination?