The value of lim_(xto1)(sin(x-1))/(x^2+2x-3)is-
A. 0
B. 1/4
C. 1/3
D. Does not exist
IUTউচ্চতর গণিত প্রথম পত্রঅন্তরীকরণলিমিট হিসেবে অন্তরজ (Topic Practice)IUT - ⚡ অনলাইন প্রশ্নব্যাংক দেখুন 💥
সঠিক উত্তরঃ
B.
1/4
Explanation:

Related Questions (Any University/Year)
- মান নির্ণয় করঃ lim_(xto0)(e^sinx-1)/sinx
- lim_(xto0)(sqrt(1-x)-1)/x এর মান কত?
- lim_(x→0)(sinx-ln(e^xcosx))/(xsinx)=?
- lim_(x->pi/2) (1-sinx)/((pi/2-x)^2
- lim _(x -> 3) (x ^ 2 - 9)/(x - 3) =?
- lim_(xto3) (x^3-27)/(x^2 - 9)
- Evaluate lim_(x->0) (e^x-1)/(e^(2x)-1) = ?
- Which of the following statement is /are correct ? (i) The number L is the limit of f(x) as xrarra if, given any in>0 , there exists a value of x for which |f(x)-L|<in (ii) The number L is the limit of f(x) as xrarra , if for every number , in>0 there exists a corresponding number delta>0 such that for all x, if 0<|x - a|< delta then |f(x)-L|<in. (iii) The number L is the limit of f(x) as xrarra , if f(x) gets closer to L as x approaches a. (iv) The number L is the limit of f(x) as xrarra , if the values of f(x) can be made as close as we like to L by making x sufficiently close to a ( but not equal to a) .
- lim_(x->π/2)(1-sinx)/(π/2-x)^2 = কত?
- lim_(x->oo) (7-2x+5x^2)/(5+3x-2x^2) = কত?
- lim_(x->0)(tan^-1(2x)/x)=?
- lim_(x->∞)2^xsin(a/2^x) এর মান কোনটি?
- Lim_(x->0)sinx/x=?
- lim_(x->0) 1/x {√(1+x)- √(1-x)} = ?
- \( \lim_{x \to 0} \frac{e^{mx} - 1}{m(tan x + sin x)} \) =?
- Lim_(x->0)(1-Cos3x)/x^2 =?
- lim_(x->y)(sinx-siny)/(x-y)=?
- এর মান নির্ণয় কর।
- lim_(xto (pi/2)) (1-sinx)/cosx =?
- \(\lim_{{x \to 3}} \frac{{x-3}}{{x^2 - x -6}}\) = ?