3. Find the value of the expression lim 2x2+5x-7 h-2 x-1

Use limit methods to determine which of the two given functions grows faster, or state that they have comparable growth rates. ex2; e10x

Find the slope of the tangent line to the parabola y=4x-x^2 at the point (1,3) 1) using the definition: m=lim->a f(x)-f(a)/x-a 2)using the equation: m=lim->0 f(a+h)-f(a)/h

We determined that l'Hospital's rule applies to the limit  lim x→5   x2 − 10x + 25 x2 − 5x .  Recall that when l'Hospital's rule applies, it states that  lim x→a   f(x) g(x)  = lim x→a   f '(x) g'(x) . Consequently, the next step is to take the derivative of the numerator and the denominator separately. d dx (x2 − 10x + 25)  =              d dx (x2 − 5x)  =