Here are some problems I am having a hard time with. If anyone knows how to solve them It would be amazing. My tutor cannot even figure these out!!!

1. limx->2- sqrt(4-x^2)/x-2

2. limx->0+ x^3cotx

3. limx->infinity (1+1/x)^x

4. limx->2+ (1/x^2-4)-(sqrtx-1/x^2-4)