1. limx→5(4−x2)=2. limx→−1x√2+3+8/x−4=3. limx→6x−6/x2−16=

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limx→5(4−x^2)
= limx→5(2^2 − x^2)
= limx→5(2+x)(2-x)
= (2+5)(2-5)
= 7(-3)
= -21

limx→−1(x√2+3+8)/(x−4)
= limx→−1[(x+4)(√2+3)/(x−4)]
= (-1+4)(√2+3)/(-1-4)
= 3(√2+3)/(-5)
= 3(1.414 + 3)/(-5)
= 3(4.414)/(-5)
= 13.242 / -5
= -2.648

limx→6(x-6)/(x^2-16)
= limx→6(x-6)/[(x-4)(x+4)]
= 6-6 / (6-4)(6+4)
= 0 / 2 * 10
= 0/20
= 0