Given F (x) ={kx−3, x≤−1 {x^2+k, x >−1, find the value of such that lim x→−1f(x) exists.
Suppose that functions g(t) and h(t) are defined for all values of t and g(0) = h(0) = 0. Can limt-->0 (g(t))/(h(t)) exist? If it does exist, must it equal zero? Give reasons for your answers
Find the value of the postive constant c, such that
lim x->infinty ((x-c)/(x+c))^x=1/4
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