Advertisements
Advertisements
Question
\[\lim_{x->0} \frac{e^x - 1}{x}\]=
Options
e
nxn-1
1
0
MCQ
Advertisements
Solution
1
shaalaa.com
Limits and Derivatives
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Evaluate the following:
\[\lim_{x->∞} \frac{2x + 5}{x^2 + 3x + 9}\]
Evaluate the following:
`lim_(x->0) (sqrt(1+x) - sqrt(1-x))/x`
Show that f(x) = |x| is continuous at x = 0.
Find the derivative of the following function from the first principle.
ex
Show that the function f(x) = 2x - |x| is continuous at x = 0
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` =
For what value of x, f(x) = `(x+2)/(x-1)` is not continuous?
`"d"/"dx"` (5ex – 2 log x) is equal to:
If y = e2x then `("d"^2"y")/"dx"^2` at x = 0 is:
