evaluate : a. limit x tends to 2 x^3 - 2x^2 / x^2 - 5x+6
b. limit x-> 5 x^2 -9x+20 / x^2 - 6x +5
c. limit x-> 1/2 4x^2 -1/2x-1
limit x->root 2 x^2 -2 / x^2 + root 2x -4
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Answer:
a) =2 c=-1 d) 1
Step-by-step explanation:
a ) lim x tends to 2
x³-2x²/x² -5x +6
x³-2-5x+6
x³-5x+4
apply the limit
(2)³-5(2)+4
8-10+4
12-10=2
c) limit x-> 1/2 4x²-1/2x -1
4(1/2)²-1/2(1/2)-1
4×1/4 -1/2×1/2 -1
1-1-1
=-1
d) limit x -> √2 2x²-2/x² +√2x-4
2(√2)²-2/(√2)² +√2×√2 -4
4 -1+2-4
1
b) check again your question
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