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(1 point) Consider the following limit lim x→4 56 - 4x − |x² – 14x| |x² - 1961 - 180 We can simplify this limit by rewriting it as an expression without absolute values as follows 2 56 + 10x - x² -x² +376 limx→4 We can then cancel off a common factor in the numerator and denominator, thus simplifying our limit to limx→4 We can then evaluate the limit directly and find that its value is
(1 point) If determine limf(x) = ∞ x→2 10x − 22 ≤ f(x) ≤ x² + 6x − 18
(1 point) Evaluate the following expressions. Your answer must be an angle -л/2 ≤ 0 ≤ à in radians, written as a multiple of . Note that is already provided in the answer so you simply have to fill in the appropriate multiple. E.g. if the answer is л/2 you should enter 1/2. Do not use decimal answers. Write the answer as a fraction or integer. sin-¹ (sin((-7π/4)) = sin¯¹(sin(2/3))= cos-¹ (cos(3/4))= π os¯¹(cos(π/6))= COS T T
(1 point) If f(x) = = with B # 0, compute ƒ−¹(x) and ƒ−¹(3) in terms of A and B. f−¹(x) = 12xA + 11A − xB A+Bx 11+12x' f-¹(3) =