Eduprobe
Question:
limx→3√3x+√2x−√2 is equal to.
1/2√2
√3
1/√2
√3/2
Solution:
limx→3√3x+√2x−√2Rationalize=limx→3(3x+√2)(√2x+√2)/(2x−2)×(√3x+3)=limx→33(x−1)/2(x−1)×√2x+√2/(√3x+3)=3/2×2√2/6=1/√2.
1/2√2
√3
1/√2
√3/2
limx→3√3x+√2x−√2Rationalize=limx→3(3x+√2)(√2x+√2)/(2x−2)×(√3x+3)=limx→33(x−1)/2(x−1)×√2x+√2/(√3x+3)=3/2×2√2/6=1/√2.