Grace is your imaginary tutee in Grade 10, who, thanks to you, understands function and the...

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Grace is your imaginary tutee in Grade 10, who, thanks to you, understands function and the tangent line, but is not yet familiar with Calculus. Still, please do not overwhelm Grace with terminologies she has not seen. The more course-relevant concepts you demonstrate through your answers, the better your mark. 1. [50 word limit] Grace: "What does lim Af (x) = Ax g'(x) mean?" Ax0 Answer: 2. [50 word limit] Grace: Why (not how) can a function be continuous at a certain point, but its instantaneous rate of change does not exist there?" Answer: 3. [50 word limit] Grace: "For Differential Calculus, why is "dx Answer: = 1" incorrect?" Grace is your imaginary tutee in Grade 10, who, thanks to you, understands function and the tangent line, but is not yet familiar with Calculus. Still, please do not overwhelm Grace with terminologies she has not seen. The more course-relevant concepts you demonstrate through your answers, the better your mark. 1. [50 word limit] Grace: "What does lim Af (x) = Ax g'(x) mean?" Ax0 Answer: 2. [50 word limit] Grace: Why (not how) can a function be continuous at a certain point, but its instantaneous rate of change does not exist there?" Answer: 3. [50 word limit] Grace: "For Differential Calculus, why is "dx Answer: = 1" incorrect?"