Standard limits (trig, exponential, logarithmic)
Limits and continuity · Mathematics
Study notes
Q: Evaluate: (a) lim(x→0) sin(5x)/x (b) lim(x→0) (e³ˣ−1)/x. (a) = 5·lim sin(5x)/(5x) = 5·1 = 5. (b) = 3·lim (e³ˣ−1)/(3x) = 3·1 = 3.
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Limits and continuity · Mathematics
Q: Evaluate: (a) lim(x→0) sin(5x)/x (b) lim(x→0) (e³ˣ−1)/x. (a) = 5·lim sin(5x)/(5x) = 5·1 = 5. (b) = 3·lim (e³ˣ−1)/(3x) = 3·1 = 3.