Which of the following limits can be evaluated merely by substituting ?

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Which of the following limits can be evaluated merely by substituting x=1x=1? (a) lim⁡x→1sin⁡(x−1)x−1\displaystyle \lim_{x\to 1}\dfrac{\sin(x-1)}{x-1} (b) lim⁡x→12x+3\displaystyle \lim_{x\to 1} \sqrt{2x+3} (c) lim⁡x→1x3−1x−1\displaystyle \lim_{x\to 1}\dfrac{x^{3}-1}{x-1} (d) lim⁡x→1x−1\displaystyle \lim_{x\to 1}\sqrt{x-1}

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