In exercise problems 7 – 15, use the graph to find the limits (if it exists). If the limit does not exist, explain why? limx→2f(x) where ,,f(x)={4-x,x≠20,x=2 - Mathematics

In exercise problems 7 – 15, use the graph to find the limits (if it exists). If the limit does not exist, explain why?

`lim_(x -> 2) f(x)` where `f(x) = {{:(4 - x",", x ≠ 2),(0",", x = 2):}`

आलेख

`f(x) = {{:(4 - x",", x ≠ 2),(0",", x = 2):}`

To find `lim_(x -> 2) f(x)`

From the figure the value of the function at x = 2 is y = f(2) = 2

∴ `lim_(x -> 2) f(x)` = 2

shaalaa.com

Concept of Limits

क्या इस प्रश्न या उत्तर में कोई त्रुटि है?

अध्याय 9: Differential Calculus - Limits and Continuity - Exercise 9.1 [पृष्ठ ९६]

अध्याय 9 Differential Calculus - Limits and Continuity
Exercise 9.1 | Q 9 | पृष्ठ ९६

Evaluate the following limit:

`lim_(z -> -5)[((1/z + 1/5))/(z + 5)]`

Evaluate the following :

`lim_(x -> 0) [(sqrt(1 - cosx))/x]`

In problems 1 – 6, using the table estimate the value of the limit.

`lim_(x -> 2) (x - 2)/(x^2 - x - 2)`

x	1.9	1.99	1.999	2.001	2.01	2.1
f(x)	0.344820	0.33444	0.33344	0.333222	0.33222	0.332258

In problems 1 – 6, using the table estimate the value of the limit
`lim_(x -> 2) (x - 2)/(x^2 - 4)`

x	1.9	1.99	1.999	2.001	2.01	2.1
f(x)	0.25641	0.25062	0.250062	0.24993	0.24937	0.24390