Limit Problems

[lazygrad]

1)
Solve this limit without using L'Hôpital's rule.

2)

For f(x) to be a continuous function at x=2, what should be the values a,b?

First question i think i need to transform cos to sin but i got stuck after.
Second question i found the right hand limit 4/5 but i couldnt find b from sinbx/x=4/5.

 

[Deleted member 4993]

1)View attachment 21197
Solve this limit without using L'Hôpital's rule.

2)
View attachment 21196
For f(x) to be a continuous function at x=2, what should be the values a,b?

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

https://www.freemathhelp.com/forum/threads/read-before-posting.109846/#post-486520

Please share your work/thoughts about this problem.

1)Solve this limit without using L'Hôpital's rule.


2) For f(x) to be a continuous function at x=2, what should be the values a,b?

 

[lazygrad]

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

https://www.freemathhelp.com/forum/threads/read-before-posting.109846/#post-486520

Please share your work/thoughts about this problem.

Sorry for not writing where I got stuck,I edited it before you replied i forgot to write it when I posted it.

 

[NIPUL JARIWALA]

Please make me correct, if I am wrong.

 

[NIPUL JARIWALA]

lim h tends to 0 sin(h)/h =1

lim h tends to 0 sin(h/2)/(h/2) =1

 

[lazygrad]

Thanks. Second question is probably wrong so please guys don't waste your time on that one.