Question: 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)

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

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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