Advertisements
Advertisements
Question
For what value of x, f(x) = `(x+2)/(x-1)` is not continuous?
Options
-2
1
2
-1
Advertisements
Solution
1
APPEARS IN
RELATED QUESTIONS
Evaluate the following:
`lim_(x->0) (sin^2 3x)/x^2`
Examine the following function for continuity at the indicated point.
f(x) = `{((x^2 - 9)/(x-3) "," if x ≠ 3),(6 "," if x = 3):}` at x = 3
Show that f(x) = |x| is continuous at x = 0.
Find the derivative of the following function from the first principle.
x2
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.
A function f(x) is continuous at x = a `lim_(x->"a")`f(x) is equal to:
`"d"/"dx"` (5ex – 2 log x) is equal to:
If y = x and z = `1/x` then `"dy"/"dx"` =
If y = e2x then `("d"^2"y")/"dx"^2` at x = 0 is:
