PUC Science इयत्ता ११ - Karnataka Board PUC Question Bank Solutions

Write the value of \[\lim_{n \to \infty} \frac{n! + \left( n + 1 \right)!}{\left( n + 1 \right)! + \left( n + 2 \right)!} .\]

Write the value of \[\lim_{x \to \pi/2} \frac{2x - \pi}{\cos x} .\] 

Write the value of \[\lim_{n \to \infty} \frac{1 + 2 + 3 + . . . + n}{n^2} .\]

(vii)  find the equation of the hyperbola satisfying the given condition:

foci (± 4, 0), the latus-rectum = 12

Find the general solution of the following equation:

Find the general solution of the following equation:

Find the general solution of the following equation:

Find the general solution of the following equation:

Find the general solution of the following equation:

Find the general solution of the following equation:

Find the general solution of the following equation:

Find the general solution of the following equation:

Find the general solution of the following equation:

Find the general solution of the following equation:

Find the general solution of the following equation:

Find the general solution of the following equation:

Find the general solution of the following equation:

Find the general solution of the following equation:

Find the general solution of the following equation:

Find the general solution of the following equation: