Advertisements
Advertisements
Question
`lim_(theta->0) (tan theta)/theta` =
Options
1
∞
- ∞
θ
Advertisements
Solution
1
APPEARS IN
RELATED QUESTIONS
Evaluate the following:
`lim_(x->a) (x^(5/8) - a^(5/8))/(x^(2/3) - a^(2/3))`
If `lim_(x->a) (x^9 + "a"^9)/(x + "a") = lim_(x->3)` (x + 6), find the value of a.
Examine the following function for continuity at the indicated point.
f(x) = `{((x^2 - 4)/(x-2) "," if x ≠ 2),(0 "," if x = 2):}` at x = 2
Show that f(x) = |x| is continuous at x = 0.
Find the derivative of the following function from the first principle.
log(x + 1)
If f(x)= `{((x - |x|)/x if x ≠ 0),(2 if x = 0):}` then show that `lim_(x->1)`f(x) does not exist.
Evaluate: `lim_(x->1) ((2x - 3)(sqrtx - 1))/(2x^2 + x - 3)`
Verify the continuity and differentiability of f(x) = `{(1 - x if x < 1),((1 - x)(2 - x) if 1 <= x <= 2),(3 - x if x > 2):}` at x = 1 and x = 2.
`"d"/"dx" (1/x)` is equal to:
If y = e2x then `("d"^2"y")/"dx"^2` at x = 0 is:
