If fx-xn- then find the value of f1-f111- f212- fn1n- where frx denotes the rth derivative of fx w-r-t-x

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If fx=xn, t...

Question

If $f (x) = x^{n}$ , then find the value of $f (1) + \frac{f^{1} (1)}{1!} + \frac{f^{2} (1)}{2!} + . . . . . . + \frac{f^{n} (1)}{n!}$ , where $f^{r} (x)$ denotes the $r^{t h}$ derivative of $f (x) w . r . t . x$

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Similar questions

f (x) = x^{n}

f (1) + \frac{f^{1} (1)}{1!} + \frac{f^{2} (1)}{2!} + . . . . . . \frac{f^{n} (1)}{n!}

f^{r} (x)

f^{r} (x)

r^{t h}

f (x) = x^{n}

f^{'} (x) = r!^{n} C_{r} x^{n - r}

r^{t h}

f (x)

f (1) + \frac{f^{'} (1)}{1!} + \frac{f^{''} (1)}{2!} + . . . . . + \frac{f^{n} (1)}{n!} = 2^{n}

{(1 + x)}^{n}

2^{n}

f (x) = x^{n} + 4

f (1) + \frac{f^{^{'}} (1)}{1!} + \frac{f^{^{''}} (1)}{2!} + \frac{f^{^{'''}} (1)}{3!} + \dots + \frac{f^{n} (1)}{n!} =

f (x) = (1 + x)^{n}

f (0) + f^{'} (0) + \frac{1}{2!} f^{''} (0) + \dots + \frac{1}{n!}

f^{n} (0)

2^{n}

f (x) = x^{n} + 4

f (1) + f^{^{'}} (1) + \frac{1}{2!} f^{^{''}} (1) + \dots + \frac{1}{n!} f^{n} (1)

2^{n} + 4

α

p

β

q

f (x) = 0

n (1 < p, q < n)

(

f^{r} (x)

r^{t h}

f (x)

x)

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