Evaluate the limits of the numerator and denominator of the following function. Note: Do not use L'Hospital's rule, just evaluate the limits. inf f(x) lim I 00 g(x) = lim Vx2 + 8 inf f'(z) b) Find...

Please do parts B, D, and F.

Extracted text: Evaluate the limits of the numerator and denominator of the following function. Note: Do not use L'Hospital's rule, just evaluate the limits. inf f(x) lim I 00 g(x) = lim Vx2 + 8 inf f'(z) b) Find g'(z) reducing to the simplest fraction possible. Your answer should not include any negative exponents. f' (x) (x),6 2sqrt(x^2+8) c) Using your answer to part (b), evaluate the limits of the numerator and denominator of the following. Note: Do not use L'Hospital's rule, just evaluate the limits. inf f'(x) lim I00 q'(x) inf d) Find f"(z) reducing to the simplest fraction possible. Your answer should not include any negative exponents. g"(x) f" (x) g" (x) sqrt(x^2+8) e) Based on your answers to the above questions, can one use L'Hospital's rule to evaluate lim, y0 no +00 f)Evaluate the limit using another method. limz 00 Vr +8