HSC Commerce (English Medium) 11th Standard - Maharashtra State Board Question Bank Solutions

Evaluate the following limit:

`lim_(z->2)[(z^2 - 5z + 6)/(z^2 - 4)]`

Simplify the following and express in the form a + ib.

`(3i^5 + 2i^7 + i^9)/(i^6 + 2i^8 + 3i^18)`

Evaluate the following limit:

`lim_(x-> -2) [(x^7 + x^5 + 160)/(x^3 + 8)]`

Evaluate the following Limit.

`lim_(x->1)[(x^3 - 1)/(x^2 + 5x - 6)]`

Simplify the following and express in the form a + ib.

`(3i^5 +2i^7 +i^9)/(i^6 +2i^8 +3i^18)`

Evaluate the following limit :

`lim_(x->-2)[(x^7 + x^5 +160)/(x^3 +8)]`

Evaluate the following Limit.

`lim_(x->1)[(x^3 -1)/(x^2 +5x -6)]`

Evaluate the following Limit.

`lim_(x->1)[(x^3 -1)/(x^2 +5x -6)]`

Evaluate the following limit:

`lim_(z->2)[(z^2 - 5z + 6)/(z^2 - 4)]`

Show that `(-1 + sqrt3 i)^3` is a real number.

Simplify the following and express in the form a + ib.

`(3i^5 + 2i^7 + i^9) / (i^6 + 2i^8 + 3i^18)`

Evaluate the following limit:

`lim_(x -> -2) [(x^7 + x^5 + 160) / (x^3 + 8)]`

Evaluate the following limit:

`lim_(x -> 1)[(x^3 - 1) / (x^2 + 5x - 6)]`

Evaluate the following limit:

`lim_(z->2)[(z^2-5z+6)/(z^2-4)]`

Simplify the following and express in the form a + ib.

`(3i^5+2i^7+i^9)/(i^6+2i^8+3i^18)`

Evaluate the following limit:

`lim_(x->-2)[(x^7+x^5+160)/(x^3+8)]`

Evaluate the following limit:

`lim_(z->2)[(z^2-5z+6)/(z^2-4)]`

Evaluate the following limits:

`lim_(z→2)[( z^2 - 5 z + 6)/(z ^ 2 - 4)]`

Simplify the following and express in the form a+ib.

`(3i^5 + 2i^7 + i^9)/(i^6 + 2i^8 + 3i^18`

Evaluate the following limit:

`lim_(x->-2) [(x^7 + x^5 +160)/(x^3 + 8)]`