# Powers and Roots of Limits Examples

### Example 1

 Find \lim_x\to4f(x), assuming this limit exists and that \lim_x\to44(f(x))2 = 100.

### Example 2

 Find \lim_x\to3f(x),  assuming this limit exists and that \lim_x\to3((f(x))^1/4 + x) = 7.

### Example 3

 Find \lim_x\to5f(x), assuming this limit exists and that \lim_x\to5(x2\sqrtf(x)) = 5.