The limit $\lim_{x\to 0}\sin x/x$ equals:
A$1$, a standard trigonometric limit on the school chart
B$0$, since both numerator and denominator approach zero
CDoes not exist, since $\sin x/x$ has a removable singularity
D$\infty$, taking the ratio of small numerators incorrectly
Answer & Solution
Correct answer: A. $1$, a standard trigonometric limit on the school chart
$\lim_{x\to 0}\sin x/x = 1$ is a standard limit.
Related questions
lim(x→∞) (3x² + x + 1) / (5x² + 2) equals:If f(x) = 1/x, then f′(x) is:lim(x→2) (x³ − 8) / (x² − 4) equals:The derivative of f(x) = √x with respect to x is:lim(x→0) (e^x − 1) / x equals:lim(x→0) (tan x) / x equals:d/dx [(x² + 1)(x + 1)] using product rule equals:If f(x) = 3x² + 5x + 7, then f′(x) is: