Advertisements
Advertisements
प्रश्न
If `lim_(x->2) (x^n - 2^n)/(x-2) = 448`, then find the least positive integer n.
Advertisements
उत्तर
`lim_(x->2) (x^n - 2^n)/(x-2) = 448`
i.e., n 2n-1 = 7 × 26
n × 2n-1 = 7 × 27-1
∴ n = 7
APPEARS IN
संबंधित प्रश्न
Evaluate the following:
`lim_(x->∞) (sum "n")/"n"^2`
If `lim_(x->a) (x^9 + "a"^9)/(x + "a") = lim_(x->3)` (x + 6), find the value of a.
Show that f(x) = |x| is continuous at x = 0.
Find the derivative of the following function from the first principle.
x2
Find the derivative of the following function from the first principle.
ex
If f(x)= `{((x - |x|)/x if x ≠ 0),(2 if x = 0):}` then show that `lim_(x->1)`f(x) does not exist.
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.
`lim_(theta->0) (tan theta)/theta` =
`"d"/"dx"` (5ex – 2 log x) is equal to:
If y = x and z = `1/x` then `"dy"/"dx"` =
