hi can you please help me answer questions 1-8 the questions are based on limits and continuity, functions, and differentiation. please provide a thorough explanation as i am having a difficult time understanding. thank you for any help you can provide me

iii. For what value(s) of x is fix)= -2 5. Differentiate /(x) using the first principle formula when / (x) = -3x3 + 4x 6. Find -2 of the following- y = 3x] - 5par + In(4x) 7. Differentiate the function h(x) using the quotient rule. h(x) = 4+s 1. Evaluate the following limit by tabulating method. 8. Use implicate differentiation to differentiate the function. lim i. 3x3 + 2x = 2y]-3yz ii. x3+ y? = 15 2. Evaluate the following limits: i. lim -14 i. lim 5x3 - 3x -5 (x+3, x52 3. The function is given as: /(x) = (2 + 1, x>2 Is f(x) continuous at x = 2? 4. The graph of another piece-wise function g(x) is given i. "For what value(s) of x is g(x) discontinuous and state the reason(s) ii. For what value(s) of x is g(x) non-differentiable