Evaluate limx→0sin(π+tanxtanx−2secx)

Question

Find the slope of the line through the points S(3,1) and T(x+1, x2- 3).

Note that fractional answers must be expressed like -5/6, and answers with exponents like (x^2-1)/(x+3).  Use lower case letters.and do not use spaces in your answers.

 

answer m: =

Answer 1

Slope of ST: (x²-3-1)/(x+1-3)=(x²-4)/(x-2)=(x-2)(x+2)/(x-2)=x+2. Slope is m=x+2.