Question

I need thorough explanation, step by step, showing how to solve limit problems. ______ 1.

lim ( ( √5x-4 ) -1) / 3x^2 x=>8 2. lim 2x-10/x^2-25 x=>5 3. Use the limit definition of the derivative to show that if: f(x)=mx+b, then f'(x)=m 4) Use limits to compute the derivative: f'(2), where f(x)=x^3 5) Apply the 3-step method to compute f'(x) for the function; simplify the difference quotient as much as possible before taking limits. f(x)= -3x^2+1 6) The following limit is a definition of f'(a). Determine the function f(x) and the value of a. lim ( (2+h)^3 -8 ) / h h=>0

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