please according to this definition, calculate these  two lim, when (a) An=(- n^1, 1 + n^(-1)) (b) An=(1- n^1, 2+ n^(-1))

Q: Find lim(x→−2)(x^2 − 4)/(x^2 − x − 6)

A: We first factor the numerator and the denominator

Q: What is the lim of squared root x^2-4, if x ---> 2 ^+

A:

Q: Evaluate limx-->2 (sin(x-2))/(x^2+4x-12) Without L'Hospital's rule.

A: limx-->2 (sin(x-2))/(x^2+4x-12)Numerator = sin(x-2)Denominator = x2 + 4x - 12 = x2 +6x - 2x - 12…

Q: Why does this equal 11 and not 9?

A:

Q: what of the following are the same as the difference quotient f(x)=x^3-x+1

A:

Q: Prove lim as x approaches 1 = 14x^2 - 20x +6 / x-1 = 6

A: To find the limit of the given rational function as x tends to 1

Q: find the lim as x approaches infinity where

A:

Q: 1. Evaluate. 3x -14 a) lim- -4 x-2 r²+x-12 b) lim x-3

A:

Q: 6x +55 –5 lim X +5 x+ -5

A:

Q: give f(x) ={x^2-4x +6 if x 3} limt x-->3^- f(x)=? limx-->3 f(x)=? limx-->3^+ f(x)=? please…

A: