is a continuous function.
This fact together with the equalityimply thata.n for any integers.SinceSimilarly, we havefor any nonzero integer.And we can showfor any integer(is non-zero) (for exampleHence we have proved thatfor any rational number.Consider the function. It is continuous and it is zero at all ...
解析 $$let G_{1}(iv_{eh}\int f^{\prime}(2x+1)dx=? \\ 2x+1=5 \\ 2dx=dt \\ dx= \frac{dt}{2} \\ > \intf^{\prime} (t)\frac{dt}{2}= \frac{1}{2}\int f^{\prime}(t)dt \\ = \frac{1}{2}f(t)+c $$ $$ = \frac{1}{2}f(2x+1)+c $$optionD. ...
Answer to: If f(x) is a continuous function satisfying f(x)f(1/x) = 3f(x) + 4f(1/x) and f(1) is greater than 0 find \displaystyle \lim_{x \to 1}...
Step by step video & image solution for If f(x) is a continuous function in [2,3] which takes only irrational values for all x in[2,3] and f(2.5)=sqrt(5) ,then f(2.8)= by Maths experts to help you in doubts & scoring excellent marks in Class 12 exams.Updated on:21/07/2023...
Answer to: a- A continuous function is always integrable. - True - False b- A differentiable function is always continuous. - True - False...
Given y is a continuous function of x on the interval a≤ x ≤ b, where x= f(t) and y=g(t).Also f(t_1)=a, f(t_2)=b and both g and f' are continuous on [t_1,t_2].Differentiating both sides of x=f(t) with respect to t, we get,(dx)(dt)=f'(t)⇒ dx=f'(...
If f'(x)=g(x) and g is a continuous function for all real values of x, then \int_{0}^{2}g(3x)\d x is ( ) A. 13f(6)-13f(0) B. f(2)-f(0) C. f(6)-f(0) D. 13f(0)-13f(6) 相关知识点: 试题来源: 解析 A Let u=3x; \d u=3\d x or \dfrac{\d u}{3}...
The function h(x)=x2 is a polynomial function. Polynomial functions are continuous for all x in R. Therefore, we have:h(x) is continuous for all x∈R Step 4: Use the composition of continuous functionsSince both g(x) and h(x) are continuous functions, we can apply the property ...
Is the function defined byf(x)={x+5ifx≤1x−5ifx>1a continuous function? View Solution Exams IIT JEE NEET UP Board Bihar Board CBSE Free Textbook Solutions KC Sinha Solutions for Maths Cengage Solutions for Maths DC Pandey Solutions for Physics ...