Advertisements
Advertisements
प्रश्न
A function f(x) is continuous at x = a `lim_(x->"a")`f(x) is equal to:
विकल्प
f(-a)
`"f"(1/"a")`
2f(a)
f(a)
Advertisements
उत्तर
f(a)
APPEARS IN
संबंधित प्रश्न
Evaluate the following:
`lim_(x->0) (sqrt(1+x) - sqrt(1-x))/x`
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.
Let f(x) = `("a"x + "b")/("x + 1")`, if `lim_(x->0) f(x) = 2` and `lim_(x->∞) f(x) = 1`, then show that f(-2) = 0
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
Find the derivative of the following function from the first principle.
x2
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)`
`"d"/"dx" (1/x)` is equal to:
