HSC Commerce (English Medium) इयत्ता ११ वी - Maharashtra State Board Question Bank Solutions

Evaluate the following: `lim_(x -> 0) [(2^x - 1)^2/((3^x - 1) xx log (1 + x))]`

Evaluate the following: `lim_(x -> 0)[(15^x - 5^x - 3^x +1)/x^2]`

Evaluate the following: `lim_(x -> 2) [(3^(x/2) - 3)/(3^x - 9)]`

Evaluate the following:

`lim_(x ->0)[((25)^x - 2(5)^x + 1)/x^2]`

Evaluate the following: `lim_(x -> 0)[((49)^x- 2(35)^x + (25)^x)/x^2]`

Evaluate the following Limits: `lim_(x -> 0)[(5^x - 1)/x]`

Evaluate the following Limits: `lim_(x -> 0)(1 + x/5)^(1/x)`

Evaluate the following Limits: `lim_(x -> 0)[(log(1 + 9x))/x]`

Evaluate the following Limits: `lim_(x -> 0)((1 - x)^5 - 1)/((1 - x)^3 - 1)`

Evaluate the following Limits: `lim_(x -> 0)[("a"^x + "b"^x + "c"^x - 3)/x]`

Evaluate the following Limits: `lim_(x -> 0) ("e"^x + e^(-x) - 2)/x^2`

Evaluate the following Limits: `lim_(x -> 0)[(x(6^x - 3^x))/((2^x - 1)*log(1 + x))]`

Evaluate the following Limits: `lim_(x -> 0)[("a"^(3x) - "a"^(2x) - "a"^x  + 1)/x^2]`

Evaluate the following Limits: `lim_(x -> 0)[((5^x - 1)^2)/(x*log(1 + x))]`

Evaluate the following Limits: `lim_(x -> 0) [("a"^(4x) - 1)/("b"^(2x) - 1)]`

Evaluate the following Limits: `lim_(x -> 0)[(log 100 + log (0.01 + x))/x]`

Evaluate the following Limits: `lim_(x -> 0)[(log(4 - x) - log(4 + x))/x]`

Solve the following quadratic equations.

8x² + 2x + 1 = 0

Solve the following quadratic equations.

`8x^2+2x+1=0`

Solve the following quadratic equation.

`8"x"^2 + 2"x" + 1 = 0`