In order to compute the limit_lim_g(x) using the pinching theorem, it's up to you to find...

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In order to compute the limit_lim_g(x) using the pinching theorem, it's up to you to find functions f(x) and h(x), x→∞ with f(x) ≤ g(x) ≤h(x) and lim f(x) = lim_h(x). These functions are not unique, but some choices are x→∞ x →∞ better than others. Find suitable functions f(x) and h(x) for the functions g(x) listed below. Remember to ensure that f(x) ≤ g(x) and g(x) ≤ h(x). f(x) g(x) lim x →∞ cos(x) 6x 1+e-5x sin(x) Hence by the pinching theorem cos(x) 6x = -1/(6*x) -1-e^(-5*x) lim 1+e-5x sin(x) = 1 x →∞X Note: the Maple syntax for 3x is abs (3*x). h(x) 1/(6*x) Q In order to compute the limit_lim_g(x) using the pinching theorem, it's up to you to find functions f(x) and h(x), x→∞ with f(x) ≤ g(x) ≤h(x) and lim f(x) = lim_h(x). These functions are not unique, but some choices are x→∞ x →∞ better than others. Find suitable functions f(x) and h(x) for the functions g(x) listed below. Remember to ensure that f(x) ≤ g(x) and g(x) ≤ h(x). f(x) g(x) lim x →∞ cos(x) 6x 1+e-5x sin(x) Hence by the pinching theorem cos(x) 6x = -1/(6*x) -1-e^(-5*x) lim 1+e-5x sin(x) = 1 x →∞X Note: the Maple syntax for 3x is abs (3*x). h(x) 1/(6*x) Q

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To find suitable functions fx and hx for the given functions gx we ... View the full answer