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❓ Question Let f ( x ) = x 3 + a x 2 + b log ⁡ e ∣ x ∣ + 1 , x ≠ 0 f(x) = x^3 + ax^2 + b\log_e|x| + 1,\quad x \ne 0 Given that x = − 1  and  x =…

❓ Question Evaluate the limit: lim ⁡ x → 0 + tan ⁡  ⁣ ( 5 x 1 / 3 )   ln ⁡  ⁣ ( 1 + 3 x 2 ) ( tan ⁡ − 1 ( 3 x ) ) 2   [   e 5 x 4 / 3 − 1   ]​ ?…

❓ Question Evaluate the integral: ∫ ( 1 x + 1 x 3 ) 3 x − 24 + x − 26 3   d x = − α 3 ( α + 1 ) ( 3 x β + x γ ) α / ( α + 1 ) + C , where C C  is …